Polygon Area (Shoelace formula)

Calculate Polygon Area (Shoelace formula) instantly with the exact formula and a worked example.

Polygon Area (Shoelace formula)

x1
y1
x2
y2
x3
y3
Area (Gauss)
6
Calculate Polygon Area (Shoelace formula) instantly with the exact formula and a worked example.

More about: Polygon Area (Shoelace formula)

What it calculates

The “Polygon Area (Shoelace formula)” calculator computes Area (Gauss) from 6 parameters: x1, y1, x2, y2, x3, y3.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters x1 = 0, y1 = 0, x2 = 4, y2 = 0, x3 = 4, y3 = 3 the result is 6.

How to use

  1. Enter x1, y1, x2, y2, x3 and y3 — each field above is adjustable with a slider.
  2. Area (Gauss) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Polygon Area (Shoelace formula) calculated?
The Polygon Area (Shoelace formula) calculator computes Area (Gauss) from x1, y1, x2, y2, x3, y3. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Polygon Area (Shoelace formula) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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