Polygon Area Calculator (Coordinates)

About this calculator

This calculator finds the area and perimeter of any simple polygon from a list of x,y vertex coordinates, using the shoelace formula (also called Gauss's area formula): Area = ½|Σ(xᵢyᵢ₊₁ − xᵢ₊₁yᵢ)|, summing across consecutive vertex pairs and taking half the absolute value.

Surveyors, GIS analysts, architects, and students use it to compute land parcel or floor-plan area directly from coordinate data — from a survey, CAD drawing, or GPS points — without needing to break the shape into triangles or rectangles by hand. Enter the vertices in order (clockwise or counterclockwise) to get the area and perimeter.