Circle/ellipse/sector/annulus API

Area and perimeter/arc length for circle, ellipse (Ramanujan perimeter), sector and annulus. Answers 'what is the area of a circular sector?', 'what is an ellipse's perimeter?'.

Price$0.02per request

MethodPOST

Route/v1/geometry/circle-areas

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

circleellipsesectorannulusareaarc-lengthramanujan2d

API URLhttps://x402.hexl.dev/v1/geometry/circle-areas

Integration docs

Example request

{
  "shape": "sector",
  "radius": 2,
  "angleDeg": 90
}

Example response

{
  "shape": "sector",
  "area": 3.141592654,
  "arcLength": 3.141592654,
  "perimeter": 7.141592654,
  "chordLength": 2.828427125
}

Input schema

{
  "type": "object",
  "properties": {
    "shape": {
      "type": "string",
      "enum": [
        "circle",
        "ellipse",
        "sector",
        "annulus"
      ],
      "examples": [
        "sector"
      ]
    },
    "radius": {
      "type": "number",
      "examples": [
        2
      ]
    },
    "angleDeg": {
      "type": "number",
      "examples": [
        90
      ]
    },
    "a": {
      "type": "number"
    },
    "b": {
      "type": "number"
    },
    "outerRadius": {
      "type": "number"
    },
    "innerRadius": {
      "type": "number"
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}