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ForgeMesh Shape Math Calculator
x402
ForgeMesh Shape Math Calculator is a paid API for AI agents from x402.forgemesh.io, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-13).
Calculates area, perimeter, and diagonal length for circles, rectangles, triangles, and 3D shapes from plain numeric dimensions, including Heron's formula for triangles given three sides.
Price / call$0.002
Success—
StatusUnknown
How this service works
Shape math calculator for area, perimeter, and diagonal length of circles, rectangles, and triangles from plain numeric dimensions — includes Heron's formula for triangles given three sides. Useful for flooring estimates, land-plot sizing, classroom geometry problems, and CAD pre-checks where an exact figure is needed, not an approximation.
Output
Returns computed geometric properties (area, perimeter, diagonal) for the requested shape based on the provided dimensions. For triangles with three sides, Heron's formula is applied to derive area.
Example use cases
Example prompt
“Calculate the area, perimeter, and diagonal length of a rectangle that's 12.5 meters wide and 8.3 meters tall.”
Technical details
Endpoint
POSThttps://x402.forgemesh.io/area-perimeter-calculatorWhen to prefer
Use this endpoint when you need precise geometric calculations — area, perimeter, or diagonal — for standard shapes including circles, rectangles, triangles, and 3D variants (sphere, cylinder, cone, cube, rectangular prism). Ideal for flooring and construction estimates, land-plot sizing, classroom geometry, or CAD pre-checks where an exact numeric result is required rather than an approximation.
Side effects
- Missing required dimensions for the specified shape — returns error indicating which parameters are needed
- Invalid shape type string not matching the enum — returns unrecognized shape error
- Non-numeric values passed for dimension fields — returns parse/validation error
- Degenerate shape inputs (e.g. triangle sides violating triangle inequality) — may return NaN or error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| a | string | |
| b | string | |
| c | string | |
| base | string | |
| side | string | |
| shape | string | circle|rectangle|triangle|sphere|cylinder|cone|cube|rectangular_prism |
| width | string | |
| height | string | |
| length | string | |
| radius | string |
Output
Schema · Response
{
"type": "json",
"example": {
"shape": "sphere",
"volume": 523.598776,
"surface_area": 314.159265
}
}Tags
x402
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