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Geometry Shape Measurements API
x402
Geometry Shape Measurements API is a paid API for AI agents from math-geometry.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).
Computes area, perimeter, surface area, and volume for 2D and 3D geometric shapes including circles, polygons, spheres, cylinders, cones, boxes, tori, and more.
Price / call$0.02
Success—
StatusUnknown
How this service works
Area, perimeter, surface area and volume of circles, polygons, sectors, spheres, cylinders, cones, boxes, tori and more.
Output
Returns a JSON object containing the shape name, the input parameters used, computed measurements (area, perimeter, surface area, volume as applicable), a human-readable summary, and metadata such as source and timestamp.
Example use cases
Packaging material estimation
“I need to figure out the surface area and volume of a box that is 12 cm long, 8 cm wide, and 5 cm tall — can you work that out for me?”
Pool volume for a circular pool
“What's the volume of a cylinder-shaped pool that has a radius of 3.5 meters and is 1.5 meters deep?”
Pizza slice area calculation
“How much area does a pizza slice cover if it's cut from a circle with radius 30 cm at a 45-degree angle?”
Technical details
Endpoint
GEThttps://math-geometry.x402tookit.com/shape-measure?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need fast, reliable geometric measurements for standard 2D or 3D shapes without writing your own math. Ideal for educational tools, engineering estimations, packaging calculations, or any agent workflow requiring computed geometry properties. Covers a broad range of shapes (14+) in a single API, avoiding the need to implement formulas manually.
Side effects
- Missing required 'shape' query parameter returns an error
- Shape-specific required parameters not provided (e.g. radius missing for circle) result in an error
- Unsupported shape name returns an error or empty result
- Negative or zero dimensions may produce errors or undefined results
- Network or payment (x402) failure prevents response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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