Enter vertex coordinates (x, y), one per line, then click Calculate Area.

The area of a polygon can be calculated using the shoelace formula (also known as Gauss's area formula) when the coordinates of its vertices are known. For a polygon with vertices (x₁, y₁), (x₂, y₂), ..., (xₙ, yₙ) in order, the area is: A = ½ · |Σ(xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)|. This formula works for both convex and concave polygons. It is essential in surveying, GIS, computer graphics, and any application requiring area calculations from coordinate data. This calculator provides a quick and accurate way to compute polygon area from a list of vertex coordinates. The vertices should be entered in order (clockwise or counterclockwise).

1. Enter vertex coordinates as x, y, one per line.
2. Vertices must be listed in order (clockwise or counterclockwise).
3. You need at least 3 vertices to form a polygon.
4. Click Calculate Area to compute the polygon area.
5. The result shows the area in square units using the shoelace formula.
6. Click Reset to restore default example values.