TryBuildCalcLand Area Calculator (Land Area, Perimeter & Cost Estimate)
Calculate land area for rectangle, square, triangle, circle, and trapezoid plots with unit conversions and perimeter. Adjust shape, dimensions, units, and rate to match your land measurement.
Supports rectangle, square, triangle, circle, trapezoid, irregular (custom-point) plots, and common plot sizes like 30 × 40 and 40 × 60.
Calculate plot area, perimeter, conversions, and estimated land value.
🕒 Last updated: July 30, 2026
Inputs
Plot Dimensions
ℹ️Depth is the distance from frontage/road side to the rear boundary.
ℹ️Frontage is the road-facing plot width, such as 30 ft road-facing and 40 ft depth.
Unit & Cost Settings
ℹ️Optional. Enter land rate and choose whether it is per sq ft, sq yd, m², acre, or hectare.
Deduct road widening, setback, or corner chamfer area to see the usable construction area.
Plot Area
6,000 sq ft
Area in Sq Ft: 5,999.99 sq ft
Area in Sq Yards: 666.67 sq yd
Area in m²: 557.42 m²
Shape Used: Rectangle
Perimeter
320 ft
Perimeter in Feet: 320 ft
Perimeter in Meters: 97.54 m
Perimeter in Yards: 106.67 yd
Land Unit Conversion
Sq Ft: 5,999.99
Sq Yards: 666.67
m²: 557.42
Acres: 0.1377
Hectares: 0.0557
Approximate results for planning only. Verify with a professional.
Looking for the verification checklist, reference tables, or tips and mistakes?See the complete Plot Area Calculator.
Land area calculation
This page defaults to a larger custom 100 ft x 60 ft rectangular plot (not one of the standard presets) — a 6,000 sq ft area with a 320 ft perimeter — to show how the calculator handles a plot size you type in yourself rather than picking from a preset.
This calculator supports five plot shapes (rectangle, square, triangle, circle, trapezoid) plus an irregular (custom points) mode for a boundary that doesn't match any of them — see the Formula section below for each shape's exact formula.
- Plot: 100 ft x 60 ft (custom).
- Area: 6,000 sq ft.
- Perimeter: 320 ft.
Plot Area Calculator Formula & Calculation
Step 1 - Select the plot shape
The calculator first applies the correct formula for the selected plot shape. Rectangle and square plots use side dimensions, triangle plots use base and perpendicular height, circular plots use radius or diameter, and trapezoid plots use two parallel sides with height.
Rectangle Area = Length x Width
Square Area = Side x Side
Triangle Area = 0.5 x Base x Height
Circle Area = pi x Radius²
Trapezoid Area = 0.5 x (Side A + Side B) x Height
Step 1b - Irregular (polygon) plots use the shoelace formula
For an irregular plot entered as corner points (X₁,Y₁), (X₂,Y₂) ... (Xₙ,Yₙ) walked in order around the boundary, the exact area comes from the shoelace formula — named for the crisscross pattern the multiplication makes when written out.
Area = 0.5 × |Σ(Xᵢ × Yᵢ₊₁ − Xᵢ₊₁ × Yᵢ)|
(sum runs over every consecutive pair of corners, wrapping the last point back to the first)
Worked example with the default 6-point L-shaped plot — (0,0), (40,0), (40,20), (20,20), (20,30), (0,30) in feet:
(0×0 − 40×0) + (40×20 − 40×0) + (40×20 − 20×20) + (20×30 − 20×20) + (20×30 − 0×30) + (0×0 − 0×30)
= 0 + 800 + 400 + 200 + 600 + 0 = 2,000
Area = 0.5 × |2,000| = 1,000 sq ft
Step 2 - Calculate perimeter
Rectangle Perimeter = 2 × (Length + Width)
Square Perimeter = 4 × Side
Circle Circumference = 2 × π × Radius
Triangle and trapezoid perimeter are estimated from the entered height and sides.
Polygon Perimeter = sum of the straight-line distance between every consecutive pair of corners, including the closing edge back to the first point.
Step 3 - Convert area units
1 sq yd = 9 sq ft
1 m² = 10.7639 sq ft
1 acre = 43,560 sq ft
1 hectare = 10,000 m²
Step 4 - Estimate plot value
Example Plot Area Calculation Using This Calculator
These examples show how the calculator works for every supported plot shape. The currently selected shape uses your entered inputs where possible, while the remaining shapes use default example values.
You haven't entered a land rate above, so these examples use a default placeholder rate: ₹ 4,000 per sq ft. Enter your own rate in the calculator to see the estimated value calculated with real figures.
Rectangle plot example
Selected shapeA common residential rectangular plot using frontage and depth.
- Depth / Length = 100 ft
- Frontage / Width = 60 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 666.67 sq yd
Area in m² = 557.42 m²
Area in Cent = 13.77 cent
Step 3 - Perimeter
Step 4 - Estimated value
Square plot example
A square plot where all sides are equal.
- Side = 30 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 100 sq yd
Area in m² = 83.61 m²
Area in Cent = 2.07 cent
Step 3 - Perimeter
Step 4 - Estimated value
Triangle plot example
A triangular plot measured by base and perpendicular height.
- Base = 30 ft
- Height = 40 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 66.67 sq yd
Area in m² = 55.74 m²
Area in Cent = 1.38 cent
Step 3 - Perimeter
Step 4 - Estimated value
Circle plot example
A circular plot or circular landscape area measured by radius.
- Radius = 20 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 139.63 sq yd
Area in m² = 116.75 m²
Area in Cent = 2.88 cent
Step 3 - Perimeter
Step 4 - Estimated value
Trapezoid plot example
A plot with two parallel sides and a perpendicular height.
- Parallel Side A = 50 ft
- Parallel Side B = 30 ft
- Height = 40 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 177.78 sq yd
Area in m² = 148.64 m²
Area in Cent = 3.67 cent
Step 3 - Perimeter
Step 4 - Estimated value
Irregular (L-shaped) plot example
An L-shaped plot entered as boundary corner points, walked in order from a reference corner.
- Point 1 (X, Y) = 0, 0 ft
- Point 2 (X, Y) = 40, 0 ft
- Point 3 (X, Y) = 40, 20 ft
- Point 4 (X, Y) = 20, 20 ft
- Point 5 (X, Y) = 20, 30 ft
- Point 6 (X, Y) = 0, 30 ft
- Rate = ₹ 4,000 per sq ft
Step 1 - Plot area
Step 2 - Unit conversion
Area in Sq Yards = 111.11 sq yd
Area in m² = 92.9 m²
Area in Cent = 2.3 cent
Step 3 - Perimeter
Step 4 - Estimated value
This page keeps things focused on the calculation above. For the full construction guide — verification checklist, reference tables, usage steps, tips, common mistakes, and limitations.See the complete Plot Area Calculator.