Polygon Area Calculator
Compute the area of a simple polygon from parallel vertex coordinate lists using the shoelace formula.
Description
Calculate the unsigned planar area enclosed by ordered polygon vertices using the shoelace formula.
Polygon Area Calculator calculate the unsigned planar area enclosed by ordered polygon vertices using the shoelace formula.
Use this for Cartesian geometry, drawing surfaces, mesh preparation, and simple projected-coordinate areas.
When to use Polygon Area Calculator
Use this for Cartesian geometry, drawing surfaces, mesh preparation, and simple projected-coordinate areas.
How it works
The shoelace sum multiplies each x coordinate by the next y coordinate, subtracts the reverse products, and divides the absolute total by two.
Interpreting the result
Keep the input units, direction conventions, encoding, and ordering rules visible when reusing the result. Preserve the full returned value for downstream calculations and round only for presentation.
Assumptions and limitations
Vertices must be ordered around a simple polygon. Units are squared input units; latitude/longitude degrees do not produce physical surface area without a geographic projection or geodesic method.