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Land & Area Calculators

Irregular Land Area Calculator

Area of an irregular plot from its corner coordinates, using the surveyor’s shoelace formula.

Enter values

Separate values with commas, spaces or new lines.

Separate values with commas, spaces or new lines.

Results update as you type.

Result

Area

1,762.5 m²

List the corners in order around the boundary — clockwise or anticlockwise, but do not cross over.

In acres
0.43552
In hectares
0.17625
In square feet
18,971.4
Perimeter
163.751 m
Corners
5

About the Irregular Land Area Calculator

Area of an irregular plot from its corner coordinates, using the surveyor’s shoelace formula.

Also known as: shoelace formula, polygon area calculator, irregular plot area, survey area calculator.

How to use this calculator

  1. Enter x coordinates (metres, in order), y coordinates (metres, in order).
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

A = ½ |Σ (xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)|

Worked example

Using the values pre-filled in the calculator above:

  • X coordinates (metres, in order): 0, 40, 55, 30, 0
  • Y coordinates (metres, in order): 0, 0, 30, 45, 25

the calculator returns:

  • Area: 1,762.5 m²
  • In acres: 0.43552
  • In hectares: 0.17625
  • In square feet: 18,971.4