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Coordinate Geometry Solver
x402
Coordinate Geometry Solver is a paid API for AI agents from math-geometry.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Solves plane geometry problems from coordinates: line equations, distances, circles through three points, polygon areas, and line intersections.
Price / call$0.02
Success—
StatusUnknown
How this service works
Plane geometry from coordinates: line through two points, distance, circle through three points, polygon area, intersections.
Output
Returns a structured JSON object containing computed geometric results relevant to the chosen mode: for 'line' mode — slope, y-intercept, x-intercept, perpendicular slope, midpoint, segment length, angle in degrees, equation string, and general form coefficients (A, B, C); for 'distance' mode — the scalar distance; for 'circle-3-points' — center coordinates and radius; for 'polygon' — area; for 'intersect' — intersection point coordinates; for 'point-line' — distance from point to line. Also includes metadata fields like source, summary, and disclaimer.
Example use cases
Finding circle from three GPS points
“I have three coordinate points: (1, 2), (4, 6), and (7, 2) — can you find the equation of the circle that passes through all three of them, including the center and radius?”
Computing area of land parcel
“I have a plot of land whose corners are at coordinates (0,0), (10,0), (10,5), (5,8), and (0,5) — what's the area of this polygon?”
Finding road intersection coordinates
“Two roads run as straight lines: one goes from (1,1) to (4,5) and another from (2,4) to (6,1). Where exactly do they intersect?”
Technical details
Endpoint
GEThttps://math-geometry.x402tookit.com/coordinate-geometry?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need fast, precise plane geometry calculations from 2D coordinate inputs — particularly line equations, circle fitting, polygon area, or intersection finding — without setting up a local math library. Ideal for AI agents that need geometry sub-computations as part of larger workflows (GIS, CAD, education, route planning). Prefer over general-purpose math endpoints when the problem is coordinate-geometry-specific.
Side effects
- Missing required 'mode' query parameter returns an error
- Collinear points provided to circle-3-points mode (no unique circle exists)
- Parallel lines provided to intersect mode (no intersection)
- Malformed coordinate strings (not in 'x,y' format) cause parse errors
- Insufficient points provided for the selected mode (e.g. only one point for distance)
- Polygon with fewer than 3 vertices returns error or zero area
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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