# Services from geometry.openverbs.com on Zero

> geometry.openverbs.com serves 5 paid API services for AI agents, indexed by Zero. Each is callable per call with payment handled by Zero.

Canonical page: https://www.zero.xyz/host/geometry.openverbs.com
Live health (JSON, refreshed every minute): https://www.zero.xyz/host/geometry.openverbs.com/health.json

## Services

- [Triangle Properties Calculator (Heron's Formula)](https://www.zero.xyz/c/triangle-properties-calculator-heron-s-formula-52a4e3aa/llms.txt): $0.004/call via x402. Computes the area (via Heron's formula), perimeter, and all three interior angles of a triangle given its three side lengths, rejecting invalid triangles with a 400 error.
- [Polygon Area, Perimeter & Centroid Calculator](https://www.zero.xyz/c/polygon-area-perimeter-centroid-calculator-dbd53281/llms.txt): $0.004/call via x402. Computes the area (via shoelace formula), perimeter, and centroid of a simple polygon given an ordered list of 2D vertices.
- [Geometry OpenVerbs Distance Calculator](https://www.zero.xyz/c/geometry-openverbs-distance-calculator-fadd4006/llms.txt): $0.004/call via x402. Computes Euclidean, Manhattan, and Chebyshev distances between two 2D points in a single call.
- [Rectangle Area, Perimeter & Diagonal Calculator](https://www.zero.xyz/c/rectangle-area-perimeter-diagonal-calculator-f8f2b1c3/llms.txt): $0.004/call via x402. Computes the area, perimeter, and diagonal of a rectangle given its width and height.
- [Circle Geometry Calculator](https://www.zero.xyz/c/circle-geometry-calculator-5d3c0eaf/llms.txt): $0.004/call via x402. Computes the diameter, circumference, and area of a circle given its radius.

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

- [Zero catalog index](https://www.zero.xyz/llms.txt)