{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/annulus-calculator/schema.json",
  "title": "Annulus Calculator inputs",
  "description": "Calculate the area and boundary lengths of a ring between two concentric circles.",
  "type": "object",
  "properties": {
    "outerRadius": {
      "title": "Outer radius R",
      "type": "number",
      "default": 10,
      "minimum": 0.000001,
      "x-step": 0.001
    },
    "innerRadius": {
      "title": "Inner radius r",
      "type": "number",
      "default": 6,
      "minimum": 0,
      "x-step": 0.001
    }
  },
  "required": [
    "outerRadius",
    "innerRadius"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/annulus-calculator/",
    "queryExample": "https://askcalculators.com/calculator/annulus-calculator/?outerRadius=10&innerRadius=6",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "area = π(R² − r²)"
    },
    "quality": {
      "availability": "live",
      "technicalReviewRecord": "/reviews/annulus-calculator.json",
      "qualifiedReview": "pending",
      "qualifiedReviewer": null,
      "qualifiedReviewDate": null,
      "formulaVersion": "1.0.0",
      "referenceCoverage": "references-pending",
      "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
      "historicalMetadataDate": "2026-09-01",
      "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
    },
    "outputs": {
      "area": {
        "title": "Annulus area",
        "type": "number",
        "x-format": "number",
        "x-digits": 8,
        "x-primary": true
      },
      "outerCircumference": {
        "title": "Outer circumference",
        "type": "number",
        "x-format": "number",
        "x-digits": 8
      },
      "innerCircumference": {
        "title": "Inner circumference",
        "type": "number",
        "x-format": "number",
        "x-digits": 8
      },
      "width": {
        "title": "Ring width",
        "type": "number",
        "x-format": "number",
        "x-digits": 8
      }
    }
  }
}