Polygon Area, Perimeter & Centroid Calculator is a paid API for AI agents from geometry.openverbs.com, paid per call via x402, $0.004/call, status unknown (last checked 2026-09-14).
Computes the area (via shoelace formula), perimeter, and centroid of a simple polygon given an ordered list of 2D vertices.
Area (shoelace formula), perimeter and centroid of a simple polygon given its vertices in order. Vertices are treated as a closed ring (last connects to first).
Returns the computed area of the polygon (using the shoelace formula), its perimeter (sum of all edge lengths), and the coordinates of its centroid (geometric center), given the ordered list of 2D vertex coordinates.
POSThttps://geometry.openverbs.com/v1/polygonUse this endpoint when you need all three core polygon metrics — area, perimeter, and centroid — computed in a single call from an ordered vertex list. Prefer it over manual computation when dealing with arbitrary irregular polygons (not rectangles or triangles, which have sibling endpoints). Ideal when vertices are already in coordinate form and you need a fast, reliable geometric result without setting up a local math library.
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
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