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 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.

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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: 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, enter Length and Width. For a circle, enter the Radius. For a triangle, enter Base and Height.
Click Calculate
Click the blue 'Calculate Area' button to instantly see the result with a full formula breakdown.
View Multi-Unit Results
View your result displayed in multiple units simultaneously — square feet, square meters, and square yards.
Use the Unit Converter
Use the built-in Quick Unit Converter 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.
Reset or Clear
Click 'Reset' to clear all fields. 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, Square Meter, 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.

Multi-Unit Output

Results shown in sq ft, sq m, and sq yd simultaneously after each calculation.

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.

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.

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.

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.

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 must always be the perpendicular (90°) distance from the base to the opposite vertex. Use a set square or plumb line.

📐 Worked Example

Triangle: base 10 ft, slant 8 ft, true height 6 ft → Correct: 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.

📐 Worked Example

Length=4m, Width=10ft → Convert: 4m=13.12ft → Area=13.12×10=131.2 sq ft (not 4×10=40)

Using Diameter Instead of Radius for Circle Area

✗ Common Mistake

Using the full width (diameter) in Area = π × r² instead of halving it first.

✓ Correct Approach

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

📐 Worked Example

Diameter 14 ft → Radius=7 ft → Area=π×7²=153.94 sq ft (NOT π×14²=615.75 sq ft)

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

✗ Common Mistake

Calculating an L-shaped room as a single rectangle using the outermost dimensions.

✓ Correct Approach

Decompose irregular shapes into two or more standard shapes, calculate each separately, then add.

📐 Worked Example

L-shaped: outer 18×14=252 sq ft (WRONG) → Rect1: 12×14=168 + Rect2: 6×8=48 → Total: 216 sq ft

No Wastage Allowance for Flooring and Tiling

✗ Common Mistake

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

✓ Correct Approach

Always add a 10–15% wastage buffer. This accounts for cuts at edges, pattern alignment, and breakage.

📐 Worked Example

Room 200 sq ft → Order 200×1.12=224 sq ft minimum (12% wastage)

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

✗ Common Mistake

Using super built-up area to calculate cost-per-sqft, making properties appear cheaper.

✓ Correct Approach

Always request the RERA carpet area. Divide total cost by carpet area for true per-sqft cost.

📐 Worked Example

₹60L, 1200 sq ft super built-up → Carpet≈900 sq ft → Real cost=₹6,667/sq ft (not ₹5,000)

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.

The Formula

s = (a + b + c) ÷ 2

s = semi-perimeter

Area = √(s × (s−a) × (s−b) × (s−c))

a, b, c = the three side lengths

When to Use

You have all 3 sides but cannot measure height
Irregular triangular land adjacent to roads or rivers
Architectural calculations where only perimeter dimensions are given
Verifying GPS-measured triangular land coordinates
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: Semi-perimeters = (40+50+30)÷2 = 60 ft

Step 2: Heron'sArea = √(60×20×10×30)

Step 3: Simplify= √360,000

Step 4: Result= 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: Semi-perimeters = (5+6+7)÷2 = 9 m

Step 2: Heron'sArea = √(9×4×3×2)

Step 3: Simplify= √216

Step 4: Result≈ 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

Area unit conversion reference table for international and Indian 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

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

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
• Fencing a garden
• Laying boundary walls

Area and perimeter formula comparison by shape
Shape	Area Formula	Perimeter Formula	Example
Rectangle	Length × Width	2 × (Length + Width)	10×8: Area=80 sq ft \| Perimeter=36 ft
Square	Side²	4 × Side	10ft side → Area=100 sq ft \| Perimeter=40 ft
Circle	π × r²	2 × π × r	r=5: Area=78.54 sq ft \| Perimeter=31.42 ft
Triangle	½ × Base × Height	a + b + c	b=10, h=8 → Area=40 sq ft
Trapezoid	½ × (a+b) × Height	a+b+c+d	a=10, b=14, h=8 → Area=96 sq ft

💡 Key Rule: Area is always in square units. Perimeter is always in linear units. You cannot compare or add them — they measure completely different things.

Common Land Area Calculations

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 residential plot — one of the most common 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.

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.

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
= 3.14159 × 12.25
≈ 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 has a base of 60 feet and height of 45 feet. Sold at ₹500/sq ft. What is the total cost?

📋 Given

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

📐 Formula

Area = ½ × Base × Height

🧮 Working

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

✅ Answer

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

💡 Pro Note

Always confirm if price is per sq ft or sq yd (Gaj).

IntermediateProblem 4Trapezoid

Q: A trapezoidal garden: parallel sides 18 m and 24 m, height 10 m. Bags needed if 1 bag covers 30 sq m?

📋 Given

• a=18m, b=24m
• h=10m
• 1 bag = 30 sq m

📐 Formula

Area = ½ × (a+b) × h

🧮 Working

= ½ × 42 × 10 = 210 sq m
Bags = 210÷30 = 7 bags

✅ Answer

210 sq m. 7 bags needed.

💡 Pro Note

Buy 8 bags to account for uneven application.

AdvancedProblem 5L-Shape

Q: L-shaped floor: 20×12 ft + 8×10 ft. Tiles ₹85/sq ft including installation. Total cost with 10% wastage?

📋 Given

• Rect1: 20×12 ft
• Rect2: 8×10 ft
• ₹85/sq ft, 10% wastage

📐 Formula

Total Area = Area₁ + Area₂

🧮 Working

240 + 80 = 320 sq ft
With 10%: 352 sq ft
Cost: 352×₹85 = ₹29,920

✅ Answer

Net area 320 sq ft. With wastage: 352 sq ft. Total: ₹29,920.

💡 Pro Note

For diagonal patterns, use 15% wastage: 368 sq ft.

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

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

Hardwood / Laminate Flooring

10–15%

Length-direction cuts and pattern matching

Carpet (standard room)

10%

Seam alignment and directional pile patterns

Marble / Natural Stone

15–20%

Higher breakage during cutting

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.
Example: Living room: 18×14 ft = 252 sq ft
Subtract Non-Tiled Areas
Subtract built-in wardrobes, kitchen island footprints.
Example: Wardrobe: 6×2=12 sq ft → Net=240 sq ft
Add Your Wastage Percentage
Multiply net area by (1 + wastage%).
Example: 240 × 1.08 = 259.2 sq ft
Convert to Tile Box Quantities
Divide by box coverage. Always round UP.
Example: 259.2 ÷ 22 = 11.78 → Order 12 boxes
Keep 1–2 Spare Boxes
Always keep spares from the same batch for future replacements.
Example: Final: 12 required + 1–2 spare = 13–14 boxes

Complete Area Formula Reference — All Shapes

Complete area formula reference table for all geometric shapes
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
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))	a=5,b=6,c=7 → ≈14.7 sq m	Triangular plots (no height)
Trapezoid	Parallel sides a, b; Height h	A = ½×(a+b)×h	½×50×15 = 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
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 → ≈64.95 sq ft	Hexagonal tiles, pavilions
Sector of Circle	Radius (r), Angle θ°	A = (θ÷360)×π×r²	θ=90°,r=6 → ≈28.27 sq ft	Pie-slice land sections
L-Shape / Composite	Dimensions of each rectangle	A = Area₁ + Area₂ + ...	120+48 = 168 sq ft	L-shaped rooms

About This Calculator

All area formulas used in this calculator follow internationally recognized mathematical standards. Every formula is derived from first principles and cross-verified against the reference sources listed below.

📚 Formula Sources & References

ISO 80000-3:2019 ↗International Standard

International standard for quantities and units — Space and Time.

NCERT Mathematics — Class 8, Chapter 11 ↗India Curriculum

Mensuration formulas for rectangles, triangles, trapezoids, and composite shapes.

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

Original source of Heron's Formula for triangle area.

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

National Institute of Standards and Technology guide for SI units including square meter.

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

🔗 Embed This Area Calculator on Your Website

Free for educators, bloggers, and real estate portals. No coding required.

<iframe
  src="https://yoursite.com/area-calculator"
  width="100%"
  height="700"
  frameborder="0"
  title="Free Area Calculator"
  loading="lazy">
</iframe>

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?

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.

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 the perpendicular (90°) distance from the base to the opposite vertex. For example, base 10 ft and height 8 ft → (10 × 8) ÷ 2 = 40 sq ft. If you know all three sides, use Heron's Formula.

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

A 30×40 site has an area of 30 × 40 = 1,200 square feet. In square meters, 1,200 sq ft = approximately 111.48 sq m. In square yards (Gaj), 1,200 sq ft = approximately 133.33 sq yd.

How to calculate area of an L-shaped room?

Split the L-shape into two rectangles. Calculate each rectangle's area separately using Area = Length × Width. Then add both areas together.

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

Carpet Area is the actual usable floor area inside your apartment walls. Built-up Area includes carpet area plus wall thickness (10–15% more). Super Built-up Area includes built-up area plus common spaces like lobbies and lifts (25–30% more). RERA requires builders to quote prices in carpet area.

How many square feet are in 1 Bigha?

1 Bigha varies by state: UP = 27,000 sq ft | Bihar = 27,220 sq ft | West Bengal/Assam = 14,400 sq ft | Himachal Pradesh = 8,712 sq ft. Always verify with your state's revenue department.

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

1 Gaj (Square Yard) = 9 square feet exactly. So 100 Gaj = 900 sq ft, 200 Gaj = 1,800 sq ft, 500 Gaj = 4,500 sq ft.

How many square feet are in 1 acre?

1 Acre = 43,560 square feet exactly. In metric: 1 acre = 4,047 sq m = 0.4047 hectares.

How to calculate area of a circle?

Area = π × r² where r is the radius and π = 3.14159. If you are given the diameter, divide by 2 to get the radius. For example, r = 7 ft → 3.14159 × 49 = 153.94 sq ft.

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

Area = ½ × (a + b) × h, where a and b are the two parallel sides and h is the perpendicular height. Example: a=20 ft, b=30 ft, h=15 ft → ½ × 50 × 15 = 375 sq ft.

Is this area calculator accurate for construction use?

Yes, this calculator uses standard geometric formulas. For construction projects, always add a 5–10% wastage allowance when ordering materials like tiles, flooring, or paint.

How do I convert square meters to square feet?

Square Feet = Square Meters × 10.764. Examples: 100 sq m = 1,076.4 sq ft | 50 sq m = 538.2 sq ft.

How many square feet is 1 Marla?

1 Marla = 272.25 square feet. Larger conversions: 5 Marla = 1,361.25 sq ft | 20 Marla = 1 Kanal = 5,445 sq ft.

Does the calculator save or store my calculation data?

No. History is stored only in your browser's local memory and never transmitted to any server. All calculations are 100% private and client-side.

What is the difference between area and perimeter?

Area measures total surface space inside a shape in square units (sq ft, sq m). Perimeter measures the total boundary length in linear units (ft, m). A 10×12 ft room: area = 120 sq ft (for flooring), perimeter = 44 ft (for skirting boards).

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Area unit conversion reference table for international and Indian 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

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

Rectangle

Length × Width

2 × (Length + Width)

10×8: Area=80 sq ft | Perimeter=36 ft

Square

Side²

4 × Side

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

Circle

π × r²

2 × π × r

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

Triangle

½ × Base × Height

a + b + c

b=10, h=8 → Area=40 sq ft

Trapezoid

½ × (a+b) × Height

a+b+c+d

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

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))

a=5,b=6,c=7 → ≈14.7 sq m

Triangular plots (no height)

Trapezoid

Parallel sides a, b; Height h

A = ½×(a+b)×h

½×50×15 = 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

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 → ≈64.95 sq ft

Hexagonal tiles, pavilions

Sector of Circle

Radius (r), Angle θ°

A = (θ÷360)×π×r²

θ=90°,r=6 → ≈28.27 sq ft

Pie-slice land sections

L-Shape / Composite

Dimensions of each rectangle

A = Area₁ + Area₂ + ...

120+48 = 168 sq ft

L-shaped rooms

About This Calculator

📚 Formula Sources & References

ISO 80000-3:2019 ↗International Standard

International standard for quantities and units — Space and Time.

NCERT Mathematics — Class 8, Chapter 11 ↗India Curriculum

Mensuration formulas for rectangles, triangles, trapezoids, and composite shapes.

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

Original source of Heron's Formula for triangle area.

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

National Institute of Standards and Technology guide for SI units including square meter.

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

Math Calculators

How to Use This Area Calculator

Area Calculator Features

Who Uses This Area Calculator — And How

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

Carpet Area

Built-Up Area

Super Built-Up Area

Area Calculation Formulas

Rectangle

Circle

Triangle

Square

Trapezoid

Parallelogram

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

Using Slant Height Instead of Perpendicular Height for Triangles

Mixing Units — Measuring Length in Feet and Width in Meters

Using Diameter Instead of Radius for Circle Area

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

No Wastage Allowance for Flooring and Tiling

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

How Big Is 1 Acre? Real-World Size Comparisons

American Football Field

Cricket Ground

Basketball Courts

Tennis Courts

Residential Plots (India)

Bigha Comparison

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

The Formula

When to Use

Step-by-Step Worked Examples

Example 1 — Triangular Land Plot

Example 2 — Triangular Garden (Metric)

Common Area Unit Conversions

Area vs Perimeter — What Is the Difference?

Area

Perimeter

Common Land Area Calculations

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

Area of a standard basketball court

Area of a typical 2-bedroom apartment room

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

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

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

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

Wastage Allowance by Flooring Type

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

Complete Area Formula Reference — All Shapes

🔗 Embed This Area Calculator on Your Website

Frequently Asked Questions — Area Calculator

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

How do I calculate the area of a triangle?

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

How to calculate area of an L-shaped room?

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

How many square feet are in 1 Bigha?

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

How many square feet are in 1 acre?

How to calculate area of a circle?

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

Is this area calculator accurate for construction use?

How do I convert square meters to square feet?

How many square feet is 1 Marla?

Does the calculator save or store my calculation data?

What is the difference between area and perimeter?

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How to Use This Area Calculator

Area Calculator Features

Who Uses This Area Calculator — And How

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

Carpet Area

Built-Up Area

Super Built-Up Area

Area Calculation Formulas

Rectangle

Area of a 60×40 Bangalore/Hyderabad BDA site

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

Area of a 60×40 Bangalore/Hyderabad BDA site

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