Geometry Area / Volume Calculator

Area, perimeter, circumference, volume, or surface area for common 2-D and 3-D shapes.

Free tier eligible — 500 calls/month with a free key from /pricing; x402 pay-per-call above quota.

Parameters

Parameter	Type	Required	Description
`shape`	string	required	Shape One of: circle, rectangle, triangle, trapezoid, sphere, cylinder, cone, box
`metric`	string	required	What to compute (area/perimeter/circumference/volume/surface_area)
`radius`	number	optional	Radius
`length`	number	optional	Length
`width`	number	optional	Width
`height`	number	optional	Height
`base`	number	optional	Base
`a`	number	optional	Side a (trapezoid)
`b`	number	optional	Side b (trapezoid)

Call it over MCP (JSON-RPC 2.0)

curl -s https://wingmanprotocol.com/mcp \
  -H 'Content-Type: application/json' \
  -H 'Accept: application/json, text/event-stream' \
  -d '{"jsonrpc": "2.0", "id": 1, "method": "tools/call", "params": {"name": "geometry", "arguments": {"shape": "circle", "metric": "example"}}}'

Or plain HTTP

curl -s https://wingmanprotocol.com/tools/geometry \
  -H 'Content-Type: application/json' \
  -d '{"shape": "circle", "metric": "example"}'

Try it live

Edit the JSON and run it — this POSTs to https://wingmanprotocol.com/tools/geometry from your browser.

This tool is x402-metered — agents pay per call with USDC on Base. The 402 response below is the standard x402 payment-requirements envelope: sign the EIP-3009 authorization and retry with the X-Payment header, or get a free key at /pricing (500 calls/month, no card, no crypto).