How do I calculate the area of a circle?

The area of a circle is calculated using the formula: Area = π × r², where r is the radius and π (pi) = 3.14159. If you have the diameter, divide it by 2 to get the radius first. Example: a circle with radius 7 feet has an area of 3.14159 × 49 = 153.94 square feet.

Area Calculator — Square Feet, Meters, Gaj, Acres & Bigha

Q: How do I calculate the area of a triangle?

The area of a triangle is calculated using: Area = ½ × Base × Height. The height must be perpendicular (90°) to the base — not the slant side. Example: base = 10 ft, height = 8 ft → Area = (10 × 8) ÷ 2 = 40 sq ft. If you know all three sides, use Heron's Formula: Area = √(s(s−a)(s−b)(s−c)) where s = (a+b+c)/2.

Q: How many square feet is a 30×40 site?

A 30×40 site has an area of 30 × 40 = 1,200 square feet. In square meters: 111.48 sq m. In square yards (Gaj): 133.33 sq yd. This is a common residential plot size in Indian cities like Bangalore, Hyderabad, and Mysore.

Q: How to calculate area of an L-shaped room?

Split the L-shape into two rectangles. Calculate each separately using Area = Length × Width, then add both areas. Example: Section 1 = 12×10 ft = 120 sq ft; Section 2 = 6×8 ft = 48 sq ft; Total = 168 sq ft.

Q: How many square feet are in 1 Bigha?

1 Bigha varies by Indian state: Uttar Pradesh = 27,000 sq ft | Bihar = 27,220 sq ft | West Bengal = 14,400 sq ft | Rajasthan = 27,255 sq ft | Himachal Pradesh = 8,712 sq ft | Gujarat = 17,424 sq ft. Always verify with your state revenue department before property transactions.

Q: How many square feet are in 1 Gaj or Square Yard?

1 Gaj (Square Yard) = 9 square feet exactly. This is fixed and universal across India. So 100 Gaj = 900 sq ft, 200 Gaj = 1,800 sq ft, 500 Gaj = 4,500 sq ft. Gaj is widely used in Delhi, Haryana, Punjab, and western UP.

Q: How many square feet are in 1 acre?

1 Acre = 43,560 square feet exactly. In metric: 4,047 square meters = 0.4047 hectares. Common conversions: 2 acres = 87,120 sq ft | 5 acres = 217,800 sq ft | 10 acres = 435,600 sq ft.

Q: What is the difference between carpet area, built-up area, and super built-up area?

Carpet Area is the actual usable floor space inside your apartment walls. Built-up Area = Carpet Area plus wall thickness (10–15% more). Super Built-up Area = Built-up Area plus proportional share of common areas like lobby, stairs, lifts (25–35% more than carpet area). RERA regulations require builders to quote prices in carpet area only.

Q: How do I convert square meters to square feet?

Multiply square meters by 10.764 to get square feet. Formula: sq ft = sq m × 10.764. Examples: 100 sq m = 1,076.4 sq ft | 50 sq m = 538.2 sq ft | 200 sq m = 2,152.8 sq ft. To reverse: multiply sq ft by 0.0929.

Free area calculator for any shape — rectangle, circle, triangle, trapezoid, or irregular room. Instant results in sq ft, sq m, Gaj, acres, and all major Indian land units including Bigha, Marla, and Cent.

Calculate area instantly in square feet, square meters, yards (gaj), and acres for any shape. Perfect for students, construction professionals, and real estate planning. Use our square feet calculator for land, rooms, and properties. Get accurate area calculations with formulas and step-by-step breakdowns for flooring, land surveying, and geometry assignments.

Calculate Area

Select Unit

Length (ft)

Width (ft)

How to Use This Area Calculator

Follow these steps to calculate area for any shape in seconds

Select Your Shape

Select the shape type from the tabs: Rectangle, Circle, Triangle, Trapezoid, or Parallelogram — each shape shows its own input fields.

Choose Measurement Unit

Choose your preferred measurement unit from the dropdown: Square Feet (sq ft) for US/India room measurements, Square Meter (sq m) for metric, Square Yard / Gaj for Indian real estate, Acre or Hectare for large plots.

Enter Dimensions

Enter the dimensions in the input fields. For a rectangle or land plot, enter Length and Width. For a circle, enter the Radius. For a triangle, enter Base and Height. For a trapezoid, enter both parallel sides (a and b) and the Height.

Click Calculate

Click the blue 'Calculate Area' button to instantly see the result with a full formula breakdown showing exactly how the answer was computed.

View Multi-Unit Results

View your result displayed in multiple units simultaneously — square feet, square meters, and square yards — so you do not need to convert separately.

Use the Unit Converter

Use the built-in Quick Unit Converter below the calculator to convert your result into Acres, Hectares, Gaj, or Bigha for land-related queries.

Check Calculation History

Check your Calculation History panel (last 5 entries) to compare measurements across multiple rooms or plots without re-entering values.

Reset or Clear

Click 'Reset' to clear all fields and start a new calculation. Click 'Clear History' to remove saved calculations from your browser.

Area Calculator Features

Everything included in this free tool — no signup, no download required

📐

5 Shape Types

Calculates area for Rectangle, Circle, Triangle, Trapezoid, and Parallelogram with dedicated input fields for each shape.

📏

5 Measurement Units

Supports Square Feet (sq ft), Square Meter (sq m), Square Yard (Gaj), Acre, and Hectare — switchable before calculation.

🇮🇳

India Land Units

Gaj (Square Yard) included as a primary unit alongside metric and imperial systems — built for Indian property users.

🔄

Quick Unit Converter

Converts instantly between Square Feet, Square Meters, and Acres without leaving the page or using a separate tool.

📊

Multi-Unit Output

Results shown in sq ft, sq m, and sq yd simultaneously after each calculation — no manual conversion needed.

🧮

Formula Breakdown

Step-by-step formula breakdown with every result so you understand exactly how the area was calculated.

🕐

Calculation History

Stores the last 5 calculations in your browser — useful for comparing multiple room or plot measurements.

🔒

100% Private

No data storage — all calculations remain completely private and are never sent to any server.

📱

Mobile-First Design

Fully functional on phones, tablets, and desktops without zooming or horizontal scrolling.

⚡

Instant Results

Zero page reload — all calculations happen instantly in your browser using JavaScript.

🗺️

India Land Conversion Table

Covers Bigha (state-wise), Marla, Katha, Cent, Guntha, Biswa, and Dismil — the most complete India unit reference.

✅

Verified Accuracy

Mathematical accuracy verified against standard geometric formulas used in NCERT textbooks and ISO 80000-3 standards.

Who Uses This Area Calculator — And How

Real-world benefits for homeowners, students, engineers, and property buyers

🏠Homeowners

Calculate exact flooring, tiling, or carpeting material needed before purchasing — prevents costly over-buying or under-ordering.

🎨Homeowners

Accurately estimate paint quantity for walls by calculating room area in square feet, saving time and reducing material waste.

📋Property Buyers (India)

Instantly convert plot dimensions given in feet to square yards (Gaj) or acres for property registration and legal documents in India.

📚Students

Verify geometry homework answers with step-by-step breakdowns that show the formula and working — not just the final number.

🏗️Construction Professionals

Calculate slab, foundation, or floor areas across multiple shapes without switching tools or doing manual calculations.

🏢Real Estate Buyers

Verify builder-quoted carpet area, built-up area, and super built-up area claims independently before signing any agreement.

🌾Farmers & Landowners

Convert Bigha, Katha, or Guntha land measurements to square feet to compare property prices fairly across different states.

🛋️Interior Designers

Calculate room area for furniture layout planning, material sourcing, and client cost estimates without specialized software.

🚀All Users

No signup, no app download, no personal data collection — open the page and start calculating immediately.

📝Site Contractors

The calculation history feature lets contractors measure multiple rooms in sequence and keep a running record during site visits.

Carpet Area vs Built-Up Area vs Super Built-Up Area

Understanding Indian real estate measurement terms — and why the difference matters

Carpet Area

100% (baseline)

The actual usable floor space inside your apartment walls — the area you can physically walk on. As per RERA 2016, all builders must quote prices in carpet area.

✓ Includes:

• All rooms (bedroom, hall, kitchen)
• Internal wall thickness

✗ Excludes:

• Outer walls
• Balconies
• Common areas

Built-Up Area

~110–115% of Carpet Area

Carpet area plus outer wall thickness and sometimes balcony area. Always larger than carpet area by 10–15%.

Super Built-Up Area

~125–135% of Carpet Area

Built-up area plus your proportional share of all common spaces — lobby, staircase, lifts.

💡 Pro Tip: A flat quoted at 1,200 sq ft super built-up at ₹8,000/sq ft may have only ~900 sq ft of actual carpet area — making the real cost ₹10,667/sq ft.

Area Calculation Formulas

Rectangle — labeled diagram

Rectangle

Area = Length × Width

Use for: Rooms, land plots, flooring, and tiling. The most common area formula.

Example: 12 ft × 10 ft room = 120 sq ft

Circle — radius labeled diagram

Circle

Area = π × r² (π ≈ 3.14159)

Use for: Circular gardens, round pools, and curved features in land surveying.

Example: r = 5 ft → 3.14159 × 25 = 78.54 sq ft

Triangle — base and height diagram

Triangle

Area = ½ × Base × Height

Use for: Triangular land plots and architectural calculations. Height must be perpendicular.

Heron's Formula (if 3 sides known): s = (a+b+c)/2, Area = √(s(s−a)(s−b)(s−c))

Square — equal sides diagram

Square

Area = Side²

Use for: Square tiles, square property plots. All 4 sides are equal.

Example: 10 ft side = 10² = 100 sq ft

Trapezoid — parallel sides and height

Trapezoid

Area = ½ × (a + b) × h

Use for: Trapezoidal land plots common along roads, rivers, and highway frontage. a and b are the two parallel sides.

Example: a=20 ft, b=30 ft, h=15 ft → ½×50×15 = 375 sq ft

Parallelogram — base and perpendicular height

Parallelogram

Area = Base × Height

Use for: Slanted land plots and architectural structures with parallel opposite sides. Height is perpendicular — not the slant side length.

Example: Base=15 ft, Height=8 ft → 15×8 = 120 sq ft

Common Mistakes in Area Calculation (And How to Avoid Them)

These errors cause wrong results in construction, flooring, and land measurement — learn to avoid each one.

Using Slant Height Instead of Perpendicular Height for Triangles

✗ Common Mistake

Measuring the slant side of a triangle as the 'height' in the formula Area = ½ × Base × Height.

✓ Correct Approach

The height in the triangle formula must always be the perpendicular (90°) distance from the base to the opposite vertex. Use a set square or a plumb line to measure the true perpendicular height. If you only have all three sides, use Heron's Formula instead.

📐 Worked Example

Triangle with base 10 ft, slant side 8 ft, true perpendicular height 6 ft → Correct area = ½ × 10 × 6 = 30 sq ft (NOT ½ × 10 × 8 = 40 sq ft)

Mixing Units — Measuring Length in Feet and Width in Meters

✗ Common Mistake

Entering one dimension in feet and another in meters into the same calculation.

✓ Correct Approach

Always convert all dimensions to the same unit before calculating. Use the Quick Unit Converter on this page to standardize all measurements before entering them.

📐 Worked Example

Room length = 4 meters, width = 10 feet → Convert: 4 m = 13.12 ft → Area = 13.12 × 10 = 131.2 sq ft (not 4 × 10 = 40, which mixes units)

Calculating the Diameter as Radius for Circle Area

✗ Common Mistake

Using the full width (diameter) of a circle directly in the formula Area = π × r², instead of halving it first.

✓ Correct Approach

Always divide the diameter by 2 to get the radius before applying the formula. Radius = Diameter ÷ 2.

📐 Worked Example

Circular plot with diameter 14 ft → Radius = 7 ft → Area = π × 7² = 153.94 sq ft (NOT π × 14² = 615.75 sq ft, which is 4× too large)

Forgetting to Split Irregular Shapes (L, U, T-Shaped Rooms)

✗ Common Mistake

Trying to calculate the total area of an L-shaped or irregular room as a single rectangle using the outermost dimensions.

✓ Correct Approach

Always decompose irregular shapes into two or more standard shapes (rectangles, triangles). Calculate each separately, then add the areas together.

📐 Worked Example

L-shaped room: outer dimensions 18×14 ft = 252 sq ft (WRONG). Correct: Rectangle 1 = 12×14 = 168 sq ft + Rectangle 2 = 6×8 = 48 sq ft → Total = 216 sq ft

No Wastage Allowance for Flooring and Tiling

✗ Common Mistake

Ordering tiles or flooring material for exactly the calculated area, resulting in shortage during installation.

✓ Correct Approach

Always add a 10–15% wastage buffer to your calculated area when ordering tiles, wood flooring, or carpet. This accounts for cuts at edges, pattern alignment, and breakage.

📐 Worked Example

Room area = 200 sq ft → Order 200 × 1.12 = 224 sq ft of tiles minimum (12% wastage for standard rooms, 15% for diagonal tile patterns)

Confusing Carpet Area with Built-Up Area in Indian Real Estate

✗ Common Mistake

Using the builder-quoted super built-up area to calculate cost-per-sqft, which makes properties appear cheaper than they actually are.

✓ Correct Approach

Always request the RERA carpet area from the builder. Divide the total cost by carpet area to get the true per-sqft cost. Super built-up area can be 25–35% larger than carpet area.

📐 Worked Example

Flat at ₹60 lakh, 1,200 sq ft super built-up → Real carpet area ≈ 900 sq ft → Actual cost = ₹6,667/sq ft (not ₹5,000/sq ft as advertised)

How Big Is 1 Acre? Real-World Size Comparisons

1 acre = 43,560 sq ft. Hard to visualize? Here are real-world comparisons.

🏈

American Football Field

1 acre ≈ 75% of an NFL football field (full field with end zones is 57,600 sq ft)

43,560 sq ft

🏏

Cricket Ground

1 acre is roughly the size of a small-to-mid sized cricket outfield (standard ICC ground = 1.5–3.5 acres)

43,560 sq ft

🏀

Basketball Courts

You can fit approximately 9 standard NBA courts (each 4,700 sq ft) within 1 acre

≈ 9 courts

🎾

Tennis Courts

1 acre fits approximately 16 standard tennis courts (each ~2,808 sq ft)

≈ 16 courts

🏠

Residential Plots (India)

1 acre = approximately 4–5 standard 30×60 ft BDA-style residential plots in Indian cities

≈ 4–5 plots

🌾

Bigha Comparison

1 acre = approximately 1.6 Bigha in UP/Bihar (where 1 Bigha ≈ 27,000 sq ft)

≈ 1.6 Bigha (UP)

Heron's Formula — Calculate Triangle Area Using 3 Side Lengths

Use when you know all three sides of a triangle but cannot measure the height — common in land surveying and construction.

The Formula

s = (a + b + c) ÷ 2

s = semi-perimeter (half the total perimeter)

Area = √(s × (s−a) × (s−b) × (s−c))

a, b, c = the three side lengths

Named After

Heron of Alexandria (c. 10–70 AD), Greek mathematician and engineer who proved this formula in his work Metrica. It is one of the oldest area formulas still in active use today.

When to Use Heron's Formula

✓You have measured all 3 sides of a triangular plot but cannot measure the height
✓Irregular triangular land adjacent to roads or rivers where height measurement is impractical
✓Architectural calculations where only perimeter dimensions are given in blueprints
✓Verifying GPS-measured triangular land coordinates without site access
✓Solving geometry problems where only side lengths are provided

Step-by-Step Worked Examples

Example 1 — Triangular Land Plot

Side a

40 ft

Side b

50 ft

Side c

30 ft

Step 1: Find semi-perimeters = (40 + 50 + 30) ÷ 2 = 120 ÷ 2 = 60 ft

Step 2: Apply Heron's formulaArea = √(60 × (60−40) × (60−50) × (60−30))

Step 3: Simplify inside √= √(60 × 20 × 10 × 30) = √360,000

Step 4: Final answer= 600 sq ft

Result: 600 sq ft = 55.74 sq m

Example 2 — Triangular Garden (Metric)

Side a

5 m

Side b

6 m

Side c

7 m

Step 1: Find semi-perimeters = (5 + 6 + 7) ÷ 2 = 18 ÷ 2 = 9 m

Step 2: Apply Heron's formulaArea = √(9 × (9−5) × (9−6) × (9−7))

Step 3: Simplify inside √= √(9 × 4 × 3 × 2) = √216

Step 4: Final answer≈ 14.70 sq m

Result: 14.70 sq m = 158.2 sq ft

Common Area Unit Conversions

Includes international units and all major Indian land measurement units

From	To	Conversion
International Units
1 Square Meter	Square Feet	10.764 sq ft
1 Acre	Square Feet	43,560 sq ft
1 Hectare	Acres	2.471 acres
1 Hectare	Square Meters	10,000 sq m
1 Square Kilometer	Square Meters	1,000,000 sq m
1 Square Foot	Square Meter	0.0929 sq m
1 Square Yard (Gaj)	Square Feet	9 sq ft
🇮🇳 Indian Land Measurement Units
1 Gaj (Sq Yard)	Square Feet	9 sq ftDelhi, Haryana, Punjab, UP
1 Bigha (Uttar Pradesh)	Square Feet	27,000 sq ftUP — most common
1 Bigha (Bihar)	Square Feet	27,220 sq ftBihar
1 Bigha (Rajasthan)	Square Feet	27,255 sq ftRajasthan
1 Bigha (West Bengal / Assam)	Square Feet	14,400 sq ftBengal, Assam
1 Bigha (Himachal Pradesh)	Square Feet	8,712 sq ftHP
1 Marla	Square Feet	272.25 sq ftPunjab, Haryana
1 Kanal	Square Feet	5,445 sq ft= 20 Marla, Punjab/HP
1 Katha (Bihar / Bengal)	Square Feet	1,361.25 sq ft= 5 Marla
1 Guntha / Gunta	Square Feet	1,089 sq ftMaharashtra, Karnataka
1 Cent (South India)	Square Feet	435.6 sq ftTN, Kerala, AP, Karnataka
1 Dismil / Decimal	Square Feet	435.6 sq ftBihar, Bengal
1 Biswa (UP)	Square Feet	1,350 sq ft= 1/20 Bigha in UP

* Bigha varies by Indian state. Always verify with your local revenue department before property transactions.

Area vs Perimeter — What Is the Difference?

Area and perimeter are the two most commonly confused measurements in geometry. Here is a clear comparison.

Area

Surface space inside a shape

Definition

The total amount of 2D space enclosed within the boundary of a shape.

Unit Type

Square units — sq ft, sq m, sq yd, acres

Use Cases

• Buying flooring, tiles, or carpet
• Calculating paint for walls
• Measuring land size for sale or registration
• Estimating material quantities for construction

Perimeter

Total boundary length around a shape

Definition

The total length of all sides or boundaries that enclose a shape.

Unit Type

Linear units — ft, m, yd, km

Use Cases

• Installing skirting boards or baseboards
• Fencing a garden or agricultural land
• Laying boundary walls around a plot
• Calculating length of wallpaper or border tiles

Shape	Area Formula	Perimeter Formula	Example (10 × 8 ft room)
Rectangle	Length × Width	2 × (Length + Width)	Area = 80 sq ft \| Perimeter = 36 ft
Square	Side²	4 × Side	10 ft side → Area = 100 sq ft \| Perimeter = 40 ft
Circle	π × r²	2 × π × r (Circumference)	r=5 ft → Area = 78.54 sq ft \| Perimeter = 31.42 ft
Triangle	½ × Base × Height	a + b + c (sum of 3 sides)	b=10, h=8 → Area = 40 sq ft \| Perimeter = a+b+c
Trapezoid	½ × (a + b) × Height	a + b + c + d (all 4 sides)	a=10, b=14, h=8 → Area = 96 sq ft

💡 Key Rule: Area is always in square units because you are measuring two dimensions multiplied together. Perimeter is always in linear units because you are measuring one dimension (length along the boundary). You cannot compare or add them — they measure completely different things.

Common Land Area Calculations

Real-world examples for US and Indian property measurements

How many square feet are in a 30 × 40 site?

To calculate the area of a 30 × 40 site, multiply the length and width.

30 × 40 = 1,200 square feet

Result: 1,200 sq ft = 111.5 sq m = 133.3 sq yd (Gaj)

Area of a standard basketball court

A standard NBA basketball court measures approximately 94 × 50 feet.

94 × 50 = 4,700 square feet

Result: 4,700 sq ft = 436.6 sq m

Area of a typical 2-bedroom apartment room

An average bedroom in a 2BHK flat measures 12 × 14 feet.

12 × 14 = 168 square feet

Result: 168 sq ft = 15.6 sq m = 18.7 sq yd (Gaj)

🇮🇳Area of a 60 × 40 Bangalore / Hyderabad BDA site

A standard 60×40 BDA (Bangalore Development Authority) residential plot — one of the most common plot dimensions in South India.

60 × 40 = 2,400 square feet

Result: 2,400 sq ft = 222.97 sq m = 266.67 sq yd (Gaj)

🇮🇳How many square feet is 1 Bigha of land in UP?

In Uttar Pradesh, 1 Bigha = 20 Biswa = 27,000 square feet. This is the standard unit for agricultural and residential land in UP, Bihar, and Rajasthan.

1 Bigha (UP) = 27,000 sq ft

Result: 27,000 sq ft = 2,508.4 sq m = 0.6198 acres = 3,000 sq yd (Gaj)

Area Calculation Word Problems — Solved with Step-by-Step Working

Practice problems for Class 6–10 students and competitive exam preparation. Each problem shows full working.

BasicProblem 1Rectangle

Q: A rectangular room is 15 feet long and 12 feet wide. How much carpet is needed to cover the entire floor?

📋 Given

• Length = 15 ft
• Width = 12 ft

📐 Formula

Area = Length × Width

🧮 Working

Area = 15 × 12
Area = 180 sq ft

✅ Answer

180 sq ft of carpet is needed.

💡 Pro Note

Add 10% wastage for cuts: order 198 sq ft minimum.

BasicProblem 2Circle

Q: A circular fountain has a radius of 3.5 meters. What is the area of the water surface?

📋 Given

• Radius (r) = 3.5 m
• π = 3.14159

📐 Formula

Area = π × r²

🧮 Working

Area = 3.14159 × (3.5)²
Area = 3.14159 × 12.25
Area ≈ 38.48 sq m

✅ Answer

38.48 square meters.

💡 Pro Note

To convert: 38.48 sq m × 10.764 = 414.18 sq ft.

IntermediateProblem 3Triangle

Q: A triangular plot of land has a base of 60 feet and a perpendicular height of 45 feet. The plot is sold at ₹500 per square foot. What is the total cost?

📋 Given

• Base = 60 ft
• Height = 45 ft
• Rate = ₹500 per sq ft

📐 Formula

Area = ½ × Base × Height

🧮 Working

Area = ½ × 60 × 45
Area = ½ × 2,700
Area = 1,350 sq ft
Total Cost = 1,350 × ₹500
Total Cost = ₹6,75,000

✅ Answer

Area = 1,350 sq ft. Total cost = ₹6,75,000.

💡 Pro Note

Always confirm with the seller whether the quoted price is per sq ft or per sq yd (Gaj).

IntermediateProblem 4Trapezoid

Q: A trapezoidal garden has two parallel sides of 18 m and 24 m. The perpendicular distance between them is 10 m. How many bags of fertilizer are needed if one bag covers 30 sq m?

📋 Given

• Parallel side a = 18 m
• Parallel side b = 24 m
• Height h = 10 m
• 1 bag covers 30 sq m

📐 Formula

Area = ½ × (a + b) × h

🧮 Working

Area = ½ × (18 + 24) × 10
Area = ½ × 42 × 10
Area = ½ × 420
Area = 210 sq m
Bags needed = 210 ÷ 30 = 7 bags

✅ Answer

210 sq m area. 7 bags of fertilizer needed.

💡 Pro Note

Always round up when ordering materials — buy 8 bags to account for uneven application.

AdvancedProblem 5L-Shape (Composite)

Q: A floor is in the shape of two rectangles joined together (L-shape). The first rectangle is 20 ft × 12 ft, and the second rectangle is 8 ft × 10 ft. If tiles cost ₹85 per sq ft including installation, what is the total tiling cost? (Add 10% wastage.)

📋 Given

• Rectangle 1: 20 ft × 12 ft
• Rectangle 2: 8 ft × 10 ft
• Tile cost = ₹85 per sq ft
• Wastage = 10%

📐 Formula

Total Area = Area₁ + Area₂

🧮 Working

Area₁ = 20 × 12 = 240 sq ft
Area₂ = 8 × 10 = 80 sq ft
Net Area = 240 + 80 = 320 sq ft
With 10% wastage = 320 × 1.10 = 352 sq ft
Total Cost = 352 × ₹85 = ₹29,920

✅ Answer

Net area = 320 sq ft. With wastage, order tiles for 352 sq ft. Total cost = ₹29,920.

💡 Pro Note

For diagonal tile patterns, increase wastage to 15%: 320 × 1.15 = 368 sq ft.

How to Calculate Flooring, Tiles, and Carpet Area (With Wastage)

Practical guide for homeowners, contractors, and interior designers — avoid ordering too little or too much material.

Wastage Allowance by Flooring Type

Standard Floor Tiles (straight lay)

5–8%

Low wastage — straight cuts along walls only

Diagonal Tile Pattern (45°)

12–15%

More cuts at every edge — significantly more material lost

Hardwood / Laminate Flooring

10–15%

Length-direction cuts, end-pieces, and pattern matching

Carpet (standard room)

10%

Seam alignment and directional pile patterns

Marble / Natural Stone

15–20%

Natural stone has higher breakage during cutting; pattern matching adds further waste

Mosaic / Small Format Tiles

10–12%

Complex cuts around fixtures and room edges

Step-by-Step: How to Order the Right Amount of Tiles

Calculate Net Floor Area

Measure and calculate the total floor area using the calculator above. For L-shaped or irregular rooms, split into rectangles and add the areas.

Example: Living room: 18 ft × 14 ft = 252 sq ft

Subtract Non-Tiled Areas

Subtract any areas that will NOT be tiled — built-in wardrobes, kitchen island footprint, fixed furniture bases.

Example: Wardrobe base: 6 ft × 2 ft = 12 sq ft → Net area = 252 − 12 = 240 sq ft

Add Your Wastage Percentage

Multiply your net area by (1 + wastage %). Use the wastage table above to choose the right percentage for your tile type and pattern.

Example: Standard straight tiles (8% wastage): 240 × 1.08 = 259.2 sq ft

Convert to Tile Box Quantities

Divide your adjusted area by the coverage stated on your tile box. Always round UP to the next full box — never round down.

Example: Tile box covers 22 sq ft: 259.2 ÷ 22 = 11.78 → Order 12 boxes

Keep 1–2 Spare Boxes

Always keep 1–2 extra boxes from the same batch (same batch number). Future replacements from different batches often have slight color variation.

Example: Final order: 12 boxes (required) + 1–2 boxes spare = 13–14 boxes total

Quick Reference Formula

Material to Order

Net Area × (1 + Wastage%)

Number of Boxes

Material ÷ Box Coverage (round UP)

Wastage Buffer

Net Area × Wastage% = Extra sq ft needed

Complete Area Formula Reference — All Shapes

All standard area formulas in one place. Bookmark this page for quick reference during exams, site work, or property calculations.

Shape	Variables Needed	Formula	Example	Use Case
Rectangle	Length (l), Width (w)	A = l × w	12 × 10 = 120 sq ft	Rooms, land plots, flooring
Square	Side (s)	A = s²	9² = 81 sq ft	Square tiles, square plots
Circle	Radius (r)	A = π × r²	π × 5² = 78.54 sq ft	Round gardens, pools, columns
Triangle (base-height)	Base (b), Height (h)	A = ½ × b × h	½ × 10 × 8 = 40 sq ft	Triangular land, roof sections
Triangle (Heron's)	Sides a, b, c	A = √(s(s−a)(s−b)(s−c)), s=(a+b+c)/2	a=5, b=6, c=7 → A≈14.7 sq m	Triangular plots (no height known)
Trapezoid	Parallel sides a, b; Height h	A = ½ × (a + b) × h	½ × (20+30) × 15 = 375 sq ft	Plots along roads, rivers
Parallelogram	Base (b), Height (h)	A = b × h	15 × 8 = 120 sq ft	Slanted plots, slabs
Ellipse	Semi-axes a, b	A = π × a × b	π × 6 × 4 = 75.4 sq ft	Oval gardens, curved features
Rhombus	Diagonals d₁, d₂	A = ½ × d₁ × d₂	½ × 10 × 8 = 40 sq ft	Diamond-shaped plots
Regular Hexagon	Side length (s)	A = (3√3 ÷ 2) × s²	s=5 → A ≈ 64.95 sq ft	Hexagonal tiles, pavilion floors
Regular Pentagon	Side length (s)	A = (s² × √(25+10√5)) ÷ 4	s=6 → A ≈ 61.94 sq ft	Architectural floor plans
Sector of Circle	Radius (r), Angle θ (degrees)	A = (θ ÷ 360) × π × r²	θ=90°, r=6 → A = ¼ × π × 36 ≈ 28.27 sq ft	Pie-slice land sections, fans, arch segments
L-Shape / Composite	Dimensions of each rectangle	A = Area₁ + Area₂ + ...	(12×10) + (6×8) = 120+48 = 168 sq ft	L-shaped rooms, irregular floors

* All formulas produce results in square units (sq ft, sq m, etc.) matching the unit of the input dimensions. π = 3.14159265. √ = square root. For irregular polygons with many sides, use the Shoelace Formula or divide into triangles.

About This Calculator

All area formulas used in this calculator follow internationally recognized mathematical standards. Every formula — from basic rectangle area to Heron's Formula for triangles — is derived from first principles and cross-verified against the reference sources listed below. No proprietary or modified formulas are used.

📚Formula Sources & References

ISO 80000-3:2019 ↗International Standard

International standard for quantities and units — Space and Time. Defines area measurement standards used globally.

NCERT Mathematics — Class 8, Chapter 11 ↗India Curriculum

Mensuration formulas for rectangles, triangles, trapezoids, and composite shapes as taught in Indian schools.

NCERT Mathematics — Class 10, Chapter 12 ↗India Curriculum

Areas related to circles — sector area and segment area formulas.

Heron of Alexandria — Metrica (c. 60 AD) ↗Mathematical Reference

Original source of Heron's Formula for triangle area using three side lengths. Historical mathematical reference.

NIST — SI Units Reference (NIST SP 811) ↗US Federal Standard

National Institute of Standards and Technology guide for the use of SI units including square meter (m²) as the SI unit of area.

Accuracy & Transparency

🔢 Formula Accuracy

All calculations use standard IEEE 754 double-precision floating point — the same standard used in scientific calculators.

🔒 No Data Collection

All calculations run entirely in your browser. No values, results, or usage data are sent to any server.

📐 Standard Formulas Only

No approximations or simplified formulas. π is calculated to full double-precision (15+ decimal places).

🌍 Unit Accuracy

Conversion factors follow NIST SP 811 (US) and the Indian National Measurement Institute (NPLI) standards.

Disclaimer: This calculator provides mathematically accurate results based on the dimensions you enter. For legally binding land measurements, property registration, or construction contracts, always verify results with a licensed surveyor or civil engineer. Bigha and other traditional Indian units vary by state — confirm the local definition with your State Revenue Department before use in property transactions.

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Paste this code into any HTML page. Displays a fully functional area calculator with attribution.

Frequently Asked Questions — Area Calculator

Answers to the most common questions about area calculation, formulas, and Indian land units

How do I calculate the area of a rectangle or land plot?

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To calculate the area of a rectangle or rectangular land plot, multiply its length by its width. The formula is: Area = Length × Width. For example, a plot that is 30 feet long and 40 feet wide has an area of 30 × 40 = 1,200 square feet. Enter these values into the calculator above and select 'Rectangle' as the shape to get an instant result with full formula breakdown.

How do I calculate the area of a triangle?

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The area of a triangle is calculated using the formula: Area = ½ × Base × Height. The height must be the perpendicular (90°) distance from the base to the opposite vertex — not the slant side. For example, a triangle with a base of 10 feet and a perpendicular height of 8 feet has an area of (10 × 8) ÷ 2 = 40 sq ft. If you know all three sides but not the height, use Heron's Formula: Area = √(s(s−a)(s−b)(s−c)), where s = (a+b+c)/2.

How many square feet is a 30×40 site or plot?

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A 30×40 site has an area of 30 × 40 = 1,200 square feet. This is a common residential plot dimension in cities like Bangalore (BDA sites), Hyderabad, and Mysore. In square meters, 1,200 sq ft equals approximately 111.48 sq m. In square yards (Gaj), it equals approximately 133.33 sq yd. You can verify this instantly using the calculator above.

How to calculate area of an L-shaped room?

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An L-shaped room cannot be calculated directly as a single shape. The correct method is to split it into two rectangles. Step 1: Identify the two rectangular sections that together form the L-shape. Step 2: Calculate the area of each rectangle separately using Area = Length × Width. Step 3: Add both areas together. For example, if the L-shape consists of a 12×10 ft section (120 sq ft) and a 6×8 ft section (48 sq ft), the total area is 120 + 48 = 168 sq ft.

What is the difference between carpet area, built-up area, and super built-up area?

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These are Indian real estate terms that define how apartment size is measured. Carpet Area is the actual usable floor area inside your apartment walls — what you can physically put a carpet on. Built-up Area includes carpet area plus the thickness of the walls (typically 10–15% more than carpet area). Super Built-up Area (also called Saleable Area) includes built-up area plus a proportional share of common spaces like lobbies, staircases, and lifts — typically 25–30% more than carpet area. RERA regulations require builders to quote prices in carpet area, not super built-up area.

How many square feet are in 1 Bigha?

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1 Bigha is not a fixed measurement — it varies by Indian state. Here are the standard conversions: Uttar Pradesh (UP): 1 Bigha = 27,000 sq ft | Bihar: 1 Bigha = 27,220 sq ft | Rajasthan: 1 Bigha = 27,255 sq ft | West Bengal: 1 Bigha = 14,400 sq ft | Assam: 1 Bigha = 14,400 sq ft | Himachal Pradesh: 1 Bigha = 8,712 sq ft | Gujarat (Pakka Bigha): 1 Bigha = 17,424 sq ft. Always verify the local Bigha size with your state's revenue department before using it for property transactions.

How many square feet are in 1 Gaj or Square Yard?

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1 Gaj (Square Yard) = 9 square feet. This is a fixed, universal conversion used across all of India. So 100 Gaj = 900 sq ft, 200 Gaj = 1,800 sq ft, and 500 Gaj = 4,500 sq ft. Gaj is a very commonly used unit in Delhi, Haryana, Punjab, and western UP for residential plot measurements. You can use the Quick Unit Converter on this page to convert any area value between sq ft, sq m, and Gaj instantly.

How many square feet are in 1 acre?

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1 Acre = 43,560 square feet exactly. This is a fixed standard measurement used in the United States, India, and many Commonwealth countries. To put it in perspective: 1 acre is approximately the size of a standard American football field (without end zones), or about 16 standard tennis courts placed side by side. In metric terms, 1 acre = 4,047 square meters = 0.4047 hectares. Common conversions: 2 acres = 87,120 sq ft | 5 acres = 217,800 sq ft | 10 acres = 435,600 sq ft.

How to calculate area of a circle?

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The area of a circle is calculated using the formula: Area = π × r², where r is the radius (the distance from the center to the edge) and π (pi) = 3.14159. If you are given the diameter instead of the radius, divide it by 2 first. For example, a circular garden with a radius of 7 feet has an area of 3.14159 × 7² = 3.14159 × 49 = 153.94 sq ft. Enter the radius in the Circle tab of the calculator above for an instant result.

What is the formula for calculating the area of a trapezoid?

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The area of a trapezoid is calculated using: Area = ½ × (a + b) × h, where a and b are the lengths of the two parallel sides (called the bases) and h is the perpendicular height between them. For example, a trapezoidal land plot with parallel sides of 20 ft and 30 ft, and a height of 15 ft, has an area of ½ × (20 + 30) × 15 = ½ × 50 × 15 = 375 sq ft. This shape is common in irregular land plots along roads or rivers.

Is this area calculator accurate for construction use?

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Yes, this calculator uses standard geometric formulas that are mathematically precise. For construction projects, the calculated area is accurate as a base measurement. However, always add a 5–10% wastage allowance when ordering materials like tiles, flooring, or paint, because real-world cuts, trimming, and pattern matching create material loss. For irregular sites, split the area into standard shapes (rectangles + triangles), calculate each separately, and add them together.

How do I convert square meters to square feet?

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To convert square meters to square feet, multiply by 10.764. Formula: Square Feet = Square Meters × 10.764. Examples: 100 sq m = 1,076.4 sq ft | 50 sq m = 538.2 sq ft | 200 sq m = 2,152.8 sq ft. To convert in the reverse direction (sq ft to sq m), multiply by 0.0929. Use the Quick Unit Converter widget on this page for instant conversions between sq ft, sq m, and acres.

How many square feet is 1 Marla?

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1 Marla = 272.25 square feet (in Pakistan and most parts of India). However, in some parts of Punjab and Haryana, 1 Marla is also defined as 25 square yards = 225 square feet. The standard definition used in most property registries in India is 1 Marla = 272.25 sq ft. For larger conversions: 5 Marla = 1,361.25 sq ft | 10 Marla = 2,722.5 sq ft | 20 Marla = 1 Kanal = 5,445 sq ft.

Does the calculator save or store my calculation data?

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No. This area calculator stores calculation history only in your own browser's local memory (not on any server). The history contains only your last 5 calculations and is automatically cleared when you close the browser or click 'Clear History.' No measurement data, IP address, or personal information is ever transmitted to any third party. The tool operates with 100% client-side JavaScript.

What is the difference between area and perimeter?

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Area measures the total surface space enclosed inside a shape and is always expressed in square units (sq ft, sq m, sq yd). Perimeter measures the total length of the boundary around a shape and is expressed in linear units (ft, m, yd). For example, a rectangular room that is 10 ft × 12 ft has an area of 120 sq ft (used for flooring) and a perimeter of 2 × (10+12) = 44 ft (used for skirting boards or fencing). For perimeter calculations of the same shapes, use our Perimeter Calculator.

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From	To	Conversion
International Units
1 Square Meter	Square Feet	10.764 sq ft
1 Acre	Square Feet	43,560 sq ft
1 Hectare	Acres	2.471 acres
1 Hectare	Square Meters	10,000 sq m
1 Square Kilometer	Square Meters	1,000,000 sq m
1 Square Foot	Square Meter	0.0929 sq m
1 Square Yard (Gaj)	Square Feet	9 sq ft
🇮🇳 Indian Land Measurement Units
1 Gaj (Sq Yard)	Square Feet	9 sq ftDelhi, Haryana, Punjab, UP
1 Bigha (Uttar Pradesh)	Square Feet	27,000 sq ftUP — most common
1 Bigha (Bihar)	Square Feet	27,220 sq ftBihar
1 Bigha (Rajasthan)	Square Feet	27,255 sq ftRajasthan
1 Bigha (West Bengal / Assam)	Square Feet	14,400 sq ftBengal, Assam
1 Bigha (Himachal Pradesh)	Square Feet	8,712 sq ftHP
1 Marla	Square Feet	272.25 sq ftPunjab, Haryana
1 Kanal	Square Feet	5,445 sq ft= 20 Marla, Punjab/HP
1 Katha (Bihar / Bengal)	Square Feet	1,361.25 sq ft= 5 Marla
1 Guntha / Gunta	Square Feet	1,089 sq ftMaharashtra, Karnataka
1 Cent (South India)	Square Feet	435.6 sq ftTN, Kerala, AP, Karnataka
1 Dismil / Decimal	Square Feet	435.6 sq ftBihar, Bengal
1 Biswa (UP)	Square Feet	1,350 sq ft= 1/20 Bigha in UP

From

Conversion

International Units

1 Square Meter

Square Feet

10.764 sq ft

1 Acre

Square Feet

43,560 sq ft

1 Hectare

Acres

2.471 acres

1 Hectare

Square Meters

10,000 sq m

1 Square Kilometer

Square Meters

1,000,000 sq m

1 Square Foot

Square Meter

0.0929 sq m

1 Square Yard (Gaj)

Square Feet

9 sq ft

🇮🇳 Indian Land Measurement Units

1 Gaj (Sq Yard)

Square Feet

9 sq ftDelhi, Haryana, Punjab, UP

1 Bigha (Uttar Pradesh)

Square Feet

27,000 sq ftUP — most common

1 Bigha (Bihar)

Square Feet

27,220 sq ftBihar

1 Bigha (Rajasthan)

Square Feet

27,255 sq ftRajasthan

1 Bigha (West Bengal / Assam)

Square Feet

14,400 sq ftBengal, Assam

1 Bigha (Himachal Pradesh)

Square Feet

8,712 sq ftHP

1 Marla

Square Feet

272.25 sq ftPunjab, Haryana

1 Kanal

Square Feet

5,445 sq ft= 20 Marla, Punjab/HP

1 Katha (Bihar / Bengal)

Square Feet

1,361.25 sq ft= 5 Marla

1 Guntha / Gunta

Square Feet

1,089 sq ftMaharashtra, Karnataka

1 Cent (South India)

Square Feet

435.6 sq ftTN, Kerala, AP, Karnataka

1 Dismil / Decimal

Square Feet

435.6 sq ftBihar, Bengal

1 Biswa (UP)

Square Feet

1,350 sq ft= 1/20 Bigha in UP

Shape

Area Formula

Perimeter Formula

Example (10 × 8 ft room)

Rectangle

Length × Width

2 × (Length + Width)

Area = 80 sq ft | Perimeter = 36 ft

Square

Side²

4 × Side

10 ft side → Area = 100 sq ft | Perimeter = 40 ft

Circle

π × r²

2 × π × r (Circumference)

r=5 ft → Area = 78.54 sq ft | Perimeter = 31.42 ft

Triangle

½ × Base × Height

a + b + c (sum of 3 sides)

b=10, h=8 → Area = 40 sq ft | Perimeter = a+b+c

Trapezoid

½ × (a + b) × Height

a + b + c + d (all 4 sides)

a=10, b=14, h=8 → Area = 96 sq ft

Shape

Variables Needed

Formula

Example

Use Case

Rectangle

Length (l), Width (w)

A = l × w

12 × 10 = 120 sq ft

Rooms, land plots, flooring

Square

Side (s)

A = s²

9² = 81 sq ft

Square tiles, square plots

Circle

Radius (r)

A = π × r²

π × 5² = 78.54 sq ft

Round gardens, pools, columns

Triangle (base-height)

Base (b), Height (h)

A = ½ × b × h

½ × 10 × 8 = 40 sq ft

Triangular land, roof sections

Triangle (Heron's)

Sides a, b, c

A = √(s(s−a)(s−b)(s−c)), s=(a+b+c)/2

a=5, b=6, c=7 → A≈14.7 sq m

Triangular plots (no height known)

Trapezoid

Parallel sides a, b; Height h

A = ½ × (a + b) × h

½ × (20+30) × 15 = 375 sq ft

Plots along roads, rivers

Parallelogram

Base (b), Height (h)

A = b × h

15 × 8 = 120 sq ft

Slanted plots, slabs

Ellipse

Semi-axes a, b

A = π × a × b

π × 6 × 4 = 75.4 sq ft

Oval gardens, curved features

Rhombus

Diagonals d₁, d₂

A = ½ × d₁ × d₂

½ × 10 × 8 = 40 sq ft

Diamond-shaped plots

Regular Hexagon

Side length (s)

A = (3√3 ÷ 2) × s²

s=5 → A ≈ 64.95 sq ft

Hexagonal tiles, pavilion floors

Regular Pentagon

Side length (s)

A = (s² × √(25+10√5)) ÷ 4

s=6 → A ≈ 61.94 sq ft

Architectural floor plans

Sector of Circle

Radius (r), Angle θ (degrees)

A = (θ ÷ 360) × π × r²

θ=90°, r=6 → A = ¼ × π × 36 ≈ 28.27 sq ft

Pie-slice land sections, fans, arch segments

L-Shape / Composite

Dimensions of each rectangle

A = Area₁ + Area₂ + ...

(12×10) + (6×8) = 120+48 = 168 sq ft

L-shaped rooms, irregular floors

About This Calculator

📚Formula Sources & References

ISO 80000-3:2019 ↗International Standard

International standard for quantities and units — Space and Time. Defines area measurement standards used globally.

NCERT Mathematics — Class 8, Chapter 11 ↗India Curriculum

Mensuration formulas for rectangles, triangles, trapezoids, and composite shapes as taught in Indian schools.

NCERT Mathematics — Class 10, Chapter 12 ↗India Curriculum

Areas related to circles — sector area and segment area formulas.

Heron of Alexandria — Metrica (c. 60 AD) ↗Mathematical Reference

Original source of Heron's Formula for triangle area using three side lengths. Historical mathematical reference.

NIST — SI Units Reference (NIST SP 811) ↗US Federal Standard

National Institute of Standards and Technology guide for the use of SI units including square meter (m²) as the SI unit of area.

Accuracy & Transparency

🔢 Formula Accuracy

All calculations use standard IEEE 754 double-precision floating point — the same standard used in scientific calculators.

🔒 No Data Collection

All calculations run entirely in your browser. No values, results, or usage data are sent to any server.

📐 Standard Formulas Only

No approximations or simplified formulas. π is calculated to full double-precision (15+ decimal places).

🌍 Unit Accuracy

Conversion factors follow NIST SP 811 (US) and the Indian National Measurement Institute (NPLI) standards.