ToolJovia
Math

Coordinate Polygon Area Calculator

Measure a simple Cartesian polygon from ordered vertices, including its signed orientation.

✓ Browser-local processing

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How to use Coordinate Polygon Area Calculator

Translate vertices before compensated shoelace accumulation. Check every nonadjacent edge pair to reject crossing or ambiguously touching boundaries.

  1. Enter ordered vertices (json).
  2. Check the model, units, and supported limits before calculating.
  3. Run the tool, inspect the result, then copy or download it.

Good to know

  • 3–500 vertices, JSON [x,y] rows, magnitude at most 1e12. Self-intersections, near-degenerate area, and nonadjacent touching edges are rejected. No cadastral or map-projection guarantee.
  • Runs locally. Numeric inputs are bounded; floating-point output is approximate and rounded to 12 significant digits. Unsupported or non-finite calculations produce an error.

Common questions

How does Coordinate Polygon Area Calculator calculate its result?

Translate vertices before compensated shoelace accumulation. Check every nonadjacent edge pair to reject crossing or ambiguously touching boundaries.

What assumptions and boundaries apply?

3–500 vertices, JSON [x,y] rows, magnitude at most 1e12. Self-intersections, near-degenerate area, and nonadjacent touching edges are rejected. No cadastral or map-projection guarantee.

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