Shoelace Polygon Area Calculator
Calculate the area of a polygon on a 2D coordinate plane using the Shoelace formula
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Solve polygon areas. Enter sequential vertex coordinates (X, Y) to resolve the total area using Gauss's area (Shoelace) formula with SVG visuals.
How to use
- Add vertex coordinates (X, Y) in sequential order (clockwise or counter-clockwise).
- Review the rendered polygon preview chart generated in the interactive SVG viewport.
- Check the calculated absolute area alongside the diagonal cross-multiplication formula steps.
FAQ
- Does the order of vertices affect the calculated area?
- Yes, vertices must be input in sequential order along the perimeter. If coordinates are crossed, the calculated area will be incorrect. The direction (clockwise vs counter-clockwise) only changes the sign, which is resolved via absolute value.