Area by Coordinates

Calculate polygon area from coordinate list using the Shoelace formula — free surveying calculation tool

Coordinate Input

PtXY

1

2

3

4

Results

A = 0.5 · |Σ(x_i · y_(i+1) - x_(i+1) · y_i)|

Area

8000.0000

m²

Perimeter

360.0000

m

Computation (Shoelace Method)

i	xi	yi	xi·y(i+1)	x(i+1)·yi	Diff	Side
1	0.000	0.000	0.0000	0.0000	0.0000	100.0000
2	100.000	0.000	8000.0000	0.0000	8000.0000	80.0000
3	100.000	80.000	8000.0000	0.0000	8000.0000	100.0000
4	0.000	80.000	0.0000	0.0000	0.0000	80.0000
Total			16000.0000	0.0000	16000.0000	360.0000