Circle intersection calculator

Open Circle intersection calculator on Happytails.ai. This view has the same page content and links, with explicit tool capabilities. Read the processing notes before using a tool.

Tool capabilities

{
  "id": "circle-intersection-calculator",
  "category": "calculators",
  "built": true,
  "requirements": "Use the same measurement unit for every coordinate and radius. Coordinates must be finite with magnitudes up to 1,000,000,000. A radius may be zero or between 0.000000001 and 1,000,000,000. Positive Y points up. Results use floating-point arithmetic, not exact symbolic geometry. Cases within the displayed numerical tolerance are treated as tangent; overlap area is measured in the square of your coordinate unit. Coincident circles have infinitely many intersections, represented explicitly rather than as a fabricated point list.",
  "implementation": {
    "fields": [
      {
        "key": "x1",
        "label": "First center X",
        "value": 0,
        "type": "number",
        "min": -1000000000,
        "max": 1000000000,
        "step": "any"
      },
      {
        "key": "y1",
        "label": "First center Y",
        "value": 0,
        "type": "number",
        "min": -1000000000,
        "max": 1000000000,
        "step": "any"
      },
      {
        "key": "radius1",
        "label": "First radius",
        "value": 1,
        "type": "number",
        "min": 0,
        "max": 1000000000,
        "step": "any"
      },
      {
        "key": "x2",
        "label": "Second center X",
        "value": 1,
        "type": "number",
        "min": -1000000000,
        "max": 1000000000,
        "step": "any"
      },
      {
        "key": "y2",
        "label": "Second center Y",
        "value": 0,
        "type": "number",
        "min": -1000000000,
        "max": 1000000000,
        "step": "any"
      },
      {
        "key": "radius2",
        "label": "Second radius",
        "value": 1,
        "type": "number",
        "min": 0,
        "max": 1000000000,
        "step": "any"
      }
    ],
    "input": false,
    "live": true,
    "presentation": "metrics",
    "note": "Use the same unit for coordinates and radii. Positive Y points up; overlap area uses square units. Calculations use floating-point arithmetic. Cases within the reported numerical tolerance are treated as tangent. Zero-radius circles represent points. Your input stays on your device.",
    "experience": {
      "automatic": true,
      "single": false,
      "inputMaxLength": 1000000,
      "inputMode": "text",
      "label": "Your text",
      "placeholder": "Type or paste your input…",
      "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
      "helpParts": [
        "Change the input or settings to update your result.",
        "Results update as you type.",
        "Up to 1,000,000 characters."
      ],
      "action": null
    },
    "mode": "automatic",
    "interactive": false
  },
  "execution": "Browser interface",
  "api": null,
  "browser_agent": {
    "supported": true,
    "name": "run_current_tool",
    "discovery": "WebMCP on the human page in a supporting browser",
    "verification": "See audit/API-AUDIT.md; availability is not verification"
  }
}

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