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Area Calculator โ€” Square Feet, Meters, Gaj, Acres & Bigha

Free area calculator for any shape โ€” 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

  1. 1

    Select Your Shape

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

  2. 2

    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.

  3. 3

    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.

  4. 4

    Click Calculate

    Click the blue 'Calculate Area' button to instantly see the result with a full formula breakdown.

  5. 5

    View Multi-Unit Results

    View your result displayed in multiple units simultaneously โ€” square feet, square meters, and square yards.

  6. 6

    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.

  7. 7

    Check Calculation History

    Check your Calculation History panel (last 5 entries) to compare measurements across multiple rooms or plots.

  8. 8

    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 โ€” no signup, no download required

๐Ÿ“

5 Shape Types

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

๐Ÿ“

5 Measurement Units

Supports Square Feet, Square Meter, Square Yard (Gaj), Acre, and Hectare โ€” switchable before calculation.

๐Ÿ‡ฎ๐Ÿ‡ณ

India Land Units

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

๐Ÿ”„

Quick Unit Converter

Converts instantly between Square Feet, Square Meters, and Acres without leaving the page.

๐Ÿ“Š

Multi-Unit Output

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

๐Ÿงฎ

Formula Breakdown

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

๐Ÿ•

Calculation History

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

๐Ÿ”’

100% Private

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

๐Ÿ“ฑ

Mobile-First Design

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

โšก

Instant Results

Zero page reload โ€” all calculations happen instantly in your browser using JavaScript.

๐Ÿ—บ๏ธ

India Land Conversion Table

Covers Bigha (state-wise), Marla, Katha, Cent, Guntha, Biswa, and Dismil.

โœ…

Verified Accuracy

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

Who Uses This Area Calculator โ€” And How

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

๐Ÿ Homeowners

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

๐ŸŽจHomeowners

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

๐Ÿ“‹Property Buyers (India)

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

๐Ÿ“šStudents

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

๐Ÿ—๏ธConstruction Professionals

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

๐ŸขReal Estate Buyers

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

๐ŸŒพFarmers & Landowners

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

๐Ÿ›‹๏ธInterior Designers

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

๐Ÿš€All Users

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

๐Ÿ“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 โ€” and why the difference matters

Carpet Area

100% (baseline)

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

โœ“ Includes:

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

โœ— Excludes:

  • โ€ข Outer walls
  • โ€ข Balconies
  • โ€ข Common areas

Built-Up Area

~110โ€“115% of Carpet Area

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

Super Built-Up Area

~125โ€“135% of Carpet Area

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

๐Ÿ’ก Pro Tip: A flat quoted at 1,200 sq ft super built-up at โ‚น8,000/sq ft may have only ~900 sq ft of actual carpet area โ€” making the real cost โ‚น10,667/sq ft.

Area Calculation Formulas

LengthWidth
Rectangle โ€” labeled diagram

Rectangle

Area = Length ร— Width

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

Example: 12 ft ร— 10 ft room = 120 sq ft

radius (r)
Circle โ€” radius labeled diagram

Circle

Area = ฯ€ ร— rยฒ (ฯ€ โ‰ˆ 3.14159)

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

Example: r = 5 ft โ†’ 3.14159 ร— 25 = 78.54 sq ft

Baseh
Triangle โ€” base and height diagram

Triangle

Area = ยฝ ร— Base ร— 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 = โˆš(s(sโˆ’a)(sโˆ’b)(sโˆ’c))

Side= Sideยฒ
Square โ€” equal sides diagram

Square

Area = Sideยฒ

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

Example: 10 ft side = 10ยฒ = 100 sq ft

side aside bh
Trapezoid โ€” parallel sides and height

Trapezoid

Area = ยฝ ร— (a + b) ร— h

Use for: Trapezoidal land plots common along roads, rivers, and highway frontage.

Example: a=20 ft, b=30 ft, h=15 ft โ†’ ยฝร—50ร—15 = 375 sq ft

Baseh
Parallelogram โ€” base and perpendicular height

Parallelogram

Area = Base ร— Height

Use for: Slanted land plots and architectural structures with parallel opposite sides.

Example: Base=15 ft, Height=8 ft โ†’ 15ร—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.

01

Using Slant Height Instead of Perpendicular Height for Triangles

โœ— Common Mistake

Measuring the slant side of a triangle as the 'height' in the formula Area = ยฝ ร— Base ร— Height.

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

Triangle: base 10 ft, slant 8 ft, true height 6 ft โ†’ Correct: ยฝร—10ร—6=30 sq ft (NOT ยฝร—10ร—8=40 sq ft)

02

Mixing Units โ€” Measuring Length in Feet and Width in Meters

โœ— Common Mistake

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

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

Length=4m, Width=10ft โ†’ Convert: 4m=13.12ft โ†’ Area=13.12ร—10=131.2 sq ft (not 4ร—10=40)

03

Using Diameter Instead of Radius for Circle Area

โœ— Common Mistake

Using the full width (diameter) in Area = ฯ€ ร— rยฒ instead of halving it first.

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

Diameter 14 ft โ†’ Radius=7 ft โ†’ Area=ฯ€ร—7ยฒ=153.94 sq ft (NOT ฯ€ร—14ยฒ=615.75 sq ft)

04

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

โœ— Common Mistake

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

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

L-shaped: outer 18ร—14=252 sq ft (WRONG) โ†’ Rect1: 12ร—14=168 + Rect2: 6ร—8=48 โ†’ Total: 216 sq ft

05

No Wastage Allowance for Flooring and Tiling

โœ— Common Mistake

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

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

Room 200 sq ft โ†’ Order 200ร—1.12=224 sq ft minimum (12% wastage)

06

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

โœ— Common Mistake

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

โœ“ Correct Approach

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

๐Ÿ“ Worked Example

โ‚น60L, 1200 sq ft super built-up โ†’ Carpetโ‰ˆ900 sq ft โ†’ Real cost=โ‚น6,667/sq ft (not โ‚น5,000)

How Big Is 1 Acre? Real-World Size Comparisons

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

๐Ÿˆ

American Football Field

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

43,560 sq ft
๐Ÿ

Cricket Ground

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

43,560 sq ft
๐Ÿ€

Basketball Courts

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

โ‰ˆ 9 courts
๐ŸŽพ

Tennis Courts

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

โ‰ˆ 16 courts
๐Ÿ 

Residential Plots (India)

1 acre = approximately 4โ€“5 standard 30ร—60 ft BDA-style residential plots in Indian cities

โ‰ˆ 4โ€“5 plots
๐ŸŒพ

Bigha Comparison

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

โ‰ˆ 1.6 Bigha (UP)

Heron's Formula โ€” 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) รท 2

s = semi-perimeter

Area = โˆš(s ร— (sโˆ’a) ร— (sโˆ’b) ร— (sโˆ’c))

a, b, c = the three side lengths

When to Use

  • โœ“You have all 3 sides but cannot measure height
  • โœ“Irregular triangular land adjacent to roads or rivers
  • โœ“Architectural calculations where only perimeter dimensions are given
  • โœ“Verifying GPS-measured triangular land coordinates
  • โœ“Solving geometry problems where only side lengths are provided

Step-by-Step Worked Examples

Example 1 โ€” Triangular Land Plot

Side a

40 ft

Side b

50 ft

Side c

30 ft

Step 1: Semi-perimeters = (40+50+30)รท2 = 60 ft
Step 2: Heron'sArea = โˆš(60ร—20ร—10ร—30)
Step 3: Simplify= โˆš360,000
Step 4: Result= 600 sq ft

Result: 600 sq ft = 55.74 sq m

Example 2 โ€” Triangular Garden (Metric)

Side a

5 m

Side b

6 m

Side c

7 m

Step 1: Semi-perimeters = (5+6+7)รท2 = 9 m
Step 2: Heron'sArea = โˆš(9ร—4ร—3ร—2)
Step 3: Simplify= โˆš216
Step 4: Resultโ‰ˆ 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
FromToConversion
International Units
1 Square MeterSquare Feet10.764 sq ft
1 AcreSquare Feet43,560 sq ft
1 HectareAcres2.471 acres
1 HectareSquare Meters10,000 sq m
1 Square KilometerSquare Meters1,000,000 sq m
1 Square FootSquare Meter0.0929 sq m
1 Square Yard (Gaj)Square Feet9 sq ft
๐Ÿ‡ฎ๐Ÿ‡ณ Indian Land Measurement Units
1 Gaj (Sq Yard)Square Feet9 sq ftDelhi, Haryana, Punjab, UP
1 Bigha (Uttar Pradesh)Square Feet27,000 sq ftUP โ€” most common
1 Bigha (Bihar)Square Feet27,220 sq ftBihar
1 Bigha (Rajasthan)Square Feet27,255 sq ftRajasthan
1 Bigha (West Bengal / Assam)Square Feet14,400 sq ftBengal, Assam
1 Bigha (Himachal Pradesh)Square Feet8,712 sq ftHP
1 MarlaSquare Feet272.25 sq ftPunjab, Haryana
1 KanalSquare Feet5,445 sq ft= 20 Marla, Punjab/HP
1 Katha (Bihar / Bengal)Square Feet1,361.25 sq ft= 5 Marla
1 Guntha / GuntaSquare Feet1,089 sq ftMaharashtra, Karnataka
1 Cent (South India)Square Feet435.6 sq ftTN, Kerala, AP, Karnataka
1 Dismil / DecimalSquare Feet435.6 sq ftBihar, Bengal
1 Biswa (UP)Square Feet1,350 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 โ€” What Is the Difference?

A

Area

Surface space inside a shape

Definition

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

Unit Type

Square units โ€” sq ft, sq m, sq yd, acres

Use Cases

  • โ€ข Buying flooring, tiles, or carpet
  • โ€ข Calculating paint for walls
  • โ€ข Measuring land size for sale
P

Perimeter

Total boundary length around a shape

Definition

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

Unit Type

Linear units โ€” ft, m, yd, km

Use Cases

  • โ€ข Installing skirting boards
  • โ€ข Fencing a garden
  • โ€ข Laying boundary walls
Area and perimeter formula comparison by shape
ShapeArea FormulaPerimeter FormulaExample
RectangleLength ร— Width2 ร— (Length + Width)10ร—8: Area=80 sq ft | Perimeter=36 ft
SquareSideยฒ4 ร— Side10ft side โ†’ Area=100 sq ft | Perimeter=40 ft
Circleฯ€ ร— rยฒ2 ร— ฯ€ ร— rr=5: Area=78.54 sq ft | Perimeter=31.42 ft
Triangleยฝ ร— Base ร— Heighta + b + cb=10, h=8 โ†’ Area=40 sq ft
Trapezoidยฝ ร— (a+b) ร— Heighta+b+c+da=10, b=14, h=8 โ†’ Area=96 sq ft

๐Ÿ’ก Key Rule: Area is always in square units. Perimeter is always in linear units. You cannot compare or add them โ€” they measure completely different things.

Common Land Area Calculations

How many square feet are in a 30ร—40 site?

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

30 ร— 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 94ร—50 feet.

94 ร— 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 12ร—14 feet.

12 ร— 14 = 168 square feet

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

๐Ÿ‡ฎ๐Ÿ‡ณArea of a 60ร—40 Bangalore/Hyderabad BDA site

A standard 60ร—40 BDA residential plot โ€” one of the most common dimensions in South India.

60 ร— 40 = 2,400 square feet

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

๐Ÿ‡ฎ๐Ÿ‡ณHow 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 โ€” Solved with Step-by-Step Working

Practice problems for Class 6โ€“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?

๐Ÿ“‹ Given

  • โ€ข Length = 15 ft
  • โ€ข Width = 12 ft

๐Ÿ“ Formula

Area = Length ร— Width

๐Ÿงฎ Working

  • Area = 15 ร— 12
  • Area = 180 sq ft

โœ… Answer

180 sq ft of carpet is needed.

๐Ÿ’ก 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?

๐Ÿ“‹ Given

  • โ€ข Radius (r) = 3.5 m
  • โ€ข ฯ€ = 3.14159

๐Ÿ“ Formula

Area = ฯ€ ร— rยฒ

๐Ÿงฎ Working

  • Area = 3.14159 ร— (3.5)ยฒ
  • = 3.14159 ร— 12.25
  • โ‰ˆ 38.48 sq m

โœ… Answer

38.48 square meters.

๐Ÿ’ก Pro Note

To convert: 38.48 sq m ร— 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 โ‚น500/sq ft. What is the total cost?

๐Ÿ“‹ Given

  • โ€ข Base = 60 ft
  • โ€ข Height = 45 ft
  • โ€ข Rate = โ‚น500/sq ft

๐Ÿ“ Formula

Area = ยฝ ร— Base ร— Height

๐Ÿงฎ Working

  • Area = ยฝ ร— 60 ร— 45 = 1,350 sq ft
  • Total = 1,350 ร— โ‚น500 = โ‚น6,75,000

โœ… Answer

Area = 1,350 sq ft. Total cost = โ‚น6,75,000.

๐Ÿ’ก 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?

๐Ÿ“‹ Given

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

๐Ÿ“ Formula

Area = ยฝ ร— (a+b) ร— h

๐Ÿงฎ Working

  • = ยฝ ร— 42 ร— 10 = 210 sq m
  • Bags = 210รท30 = 7 bags

โœ… Answer

210 sq m. 7 bags needed.

๐Ÿ’ก Pro Note

Buy 8 bags to account for uneven application.

AdvancedProblem 5L-Shape

Q: L-shaped floor: 20ร—12 ft + 8ร—10 ft. Tiles โ‚น85/sq ft including installation. Total cost with 10% wastage?

๐Ÿ“‹ Given

  • โ€ข Rect1: 20ร—12 ft
  • โ€ข Rect2: 8ร—10 ft
  • โ€ข โ‚น85/sq ft, 10% wastage

๐Ÿ“ Formula

Total Area = Areaโ‚ + Areaโ‚‚

๐Ÿงฎ Working

  • 240 + 80 = 320 sq ft
  • With 10%: 352 sq ft
  • Cost: 352ร—โ‚น85 = โ‚น29,920

โœ… Answer

Net area 320 sq ft. With wastage: 352 sq ft. Total: โ‚น29,920.

๐Ÿ’ก 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)

5โ€“8%

Low wastage โ€” straight cuts along walls only

Diagonal Tile Pattern (45ยฐ)

12โ€“15%

More cuts at every edge

Hardwood / Laminate Flooring

10โ€“15%

Length-direction cuts and pattern matching

Carpet (standard room)

10%

Seam alignment and directional pile patterns

Marble / Natural Stone

15โ€“20%

Higher breakage during cutting

Mosaic / Small Format Tiles

10โ€“12%

Complex cuts around fixtures and room edges

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

  1. 1

    Calculate Net Floor Area

    Measure and calculate the total floor area.

    Example: Living room: 18ร—14 ft = 252 sq ft
  2. 2

    Subtract Non-Tiled Areas

    Subtract built-in wardrobes, kitchen island footprints.

    Example: Wardrobe: 6ร—2=12 sq ft โ†’ Net=240 sq ft
  3. 3

    Add Your Wastage Percentage

    Multiply net area by (1 + wastage%).

    Example: 240 ร— 1.08 = 259.2 sq ft
  4. 4

    Convert to Tile Box Quantities

    Divide by box coverage. Always round UP.

    Example: 259.2 รท 22 = 11.78 โ†’ Order 12 boxes
  5. 5

    Keep 1โ€“2 Spare Boxes

    Always keep spares from the same batch for future replacements.

    Example: Final: 12 required + 1โ€“2 spare = 13โ€“14 boxes

Complete Area Formula Reference โ€” All Shapes

Complete area formula reference table for all geometric shapes
ShapeVariables NeededFormulaExampleUse Case
RectangleLength (l), Width (w)A = l ร— w12ร—10 = 120 sq ftRooms, land plots, flooring
SquareSide (s)A = sยฒ9ยฒ = 81 sq ftSquare tiles, square plots
CircleRadius (r)A = ฯ€ ร— rยฒฯ€ ร— 5ยฒ = 78.54 sq ftRound gardens, pools
Triangle (base-height)Base (b), Height (h)A = ยฝ ร— b ร— hยฝร—10ร—8 = 40 sq ftTriangular land, roof sections
Triangle (Heron's)Sides a, b, cA = โˆš(s(sโˆ’a)(sโˆ’b)(sโˆ’c))a=5,b=6,c=7 โ†’ โ‰ˆ14.7 sq mTriangular plots (no height)
TrapezoidParallel sides a, b; Height hA = ยฝร—(a+b)ร—hยฝร—50ร—15 = 375 sq ftPlots along roads, rivers
ParallelogramBase (b), Height (h)A = b ร— h15ร—8 = 120 sq ftSlanted plots, slabs
EllipseSemi-axes a, bA = ฯ€ ร— a ร— bฯ€ร—6ร—4 = 75.4 sq ftOval gardens
RhombusDiagonals dโ‚, dโ‚‚A = ยฝร—dโ‚ร—dโ‚‚ยฝร—10ร—8 = 40 sq ftDiamond-shaped plots
Regular HexagonSide length (s)A = (3โˆš3รท2)ร—sยฒs=5 โ†’ โ‰ˆ64.95 sq ftHexagonal tiles, pavilions
Sector of CircleRadius (r), Angle ฮธยฐA = (ฮธรท360)ร—ฯ€ร—rยฒฮธ=90ยฐ,r=6 โ†’ โ‰ˆ28.27 sq ftPie-slice land sections
L-Shape / CompositeDimensions of each rectangleA = Areaโ‚ + Areaโ‚‚ + ...120+48 = 168 sq ftL-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.

๐Ÿ“š Formula Sources & References

ISO 80000-3:2019 โ†—International Standard

International standard for quantities and units โ€” Space and Time.

NCERT Mathematics โ€” Class 8, Chapter 11 โ†—India Curriculum

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

Heron of Alexandria โ€” Metrica (c. 60 AD) โ†—Mathematical Reference

Original source of Heron's Formula for triangle area.

NIST โ€” SI Units Reference (NIST SP 811) โ†—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 โ€” confirm with your State Revenue Department before use in property transactions.

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Frequently Asked Questions โ€” 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 ร— Width. For example, a plot that is 30 feet long and 40 feet wide has an area of 30 ร— 40 = 1,200 square feet.

How do I calculate the area of a triangle?

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The area of a triangle is calculated using: Area = ยฝ ร— Base ร— Height. The height must be the perpendicular (90ยฐ) distance from the base to the opposite vertex. For example, base 10 ft and height 8 ft โ†’ (10 ร— 8) รท 2 = 40 sq ft. If you know all three sides, use Heron's Formula.

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

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A 30ร—40 site has an area of 30 ร— 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?

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

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

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

How many square feet are in 1 Bigha?

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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?

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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?

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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?

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Area = ฯ€ ร— rยฒ where r is the radius and ฯ€ = 3.14159. If you are given the diameter, divide by 2 to get the radius. For example, r = 7 ft โ†’ 3.14159 ร— 49 = 153.94 sq ft.

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

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Area = ยฝ ร— (a + b) ร— 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 โ†’ ยฝ ร— 50 ร— 15 = 375 sq ft.

Is this area calculator accurate for construction use?

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

How do I convert square meters to square feet?

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Square Feet = Square Meters ร— 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?

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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?

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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?

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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 10ร—12 ft room: area = 120 sq ft (for flooring), perimeter = 44 ft (for skirting boards).

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