{
  "entity_type": "unit_conversion_page",
  "id": "gradians-to-degrees",
  "name": "Gradians to Degrees",
  "title": "Gradians to Degrees Converter (grad to °)",
  "description": "Convert gradians to degrees: 1 grad = 0.9 °. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.",
  "quantity": "angle",
  "quantity_name": "Angle",
  "base_unit": "rad",
  "from_unit": {
    "symbol": "grad",
    "display": "grad",
    "name": "gradians",
    "singular": "gradian"
  },
  "to_unit": {
    "symbol": "deg",
    "display": "°",
    "name": "degrees",
    "singular": "degree"
  },
  "linear": true,
  "factor": 0.9,
  "inverse_factor": 1.111111111,
  "formula": "degrees = gradians × 0.9",
  "reverse_formula": "gradians = degrees × 1.111111111",
  "unit_relation": "1 grad = 0.9 °",
  "examples": [
    {
      "value": 5,
      "result": 4.5,
      "text": "5 grad = 4.5 °"
    },
    {
      "value": 12.5,
      "result": 11.25,
      "text": "12.5 grad = 11.25 °"
    },
    {
      "value": 100,
      "result": 90,
      "text": "100 grad = 90 °"
    }
  ],
  "table": [
    {
      "grad": 1,
      "deg": 0.9
    },
    {
      "grad": 2,
      "deg": 1.8
    },
    {
      "grad": 3,
      "deg": 2.7
    },
    {
      "grad": 4,
      "deg": 3.6
    },
    {
      "grad": 5,
      "deg": 4.5
    },
    {
      "grad": 6,
      "deg": 5.4
    },
    {
      "grad": 7,
      "deg": 6.3
    },
    {
      "grad": 8,
      "deg": 7.2
    },
    {
      "grad": 9,
      "deg": 8.1
    },
    {
      "grad": 10,
      "deg": 9
    },
    {
      "grad": 15,
      "deg": 13.5
    },
    {
      "grad": 20,
      "deg": 18
    },
    {
      "grad": 25,
      "deg": 22.5
    },
    {
      "grad": 30,
      "deg": 27
    },
    {
      "grad": 40,
      "deg": 36
    },
    {
      "grad": 50,
      "deg": 45
    },
    {
      "grad": 75,
      "deg": 67.5
    },
    {
      "grad": 100,
      "deg": 90
    },
    {
      "grad": 200,
      "deg": 180
    },
    {
      "grad": 250,
      "deg": 225
    },
    {
      "grad": 500,
      "deg": 450
    },
    {
      "grad": 1000,
      "deg": 900
    }
  ],
  "faq": [
    {
      "q": "How many degrees are in one gradian?",
      "a": "1 grad = 0.9 °. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures."
    },
    {
      "q": "What is the formula to convert gradians to degrees?",
      "a": "Multiply the value in gradians by 0.9: degrees = gradians × 0.9. For example, 5 grad = 4.5 °."
    },
    {
      "q": "How do I convert degrees back to gradians?",
      "a": "Multiply by the inverse factor 1.111111111 (gradians = degrees × 1.111111111), or use the degrees-to-gradians page."
    }
  ],
  "sources": [
    {
      "name": "NIST Special Publication 811 – Guide for the Use of the International System of Units (SI), Appendix B conversion factors",
      "url": "https://www.nist.gov/pml/special-publication-811",
      "type": "standard",
      "retrieved_at": "2026-09-24"
    },
    {
      "name": "BIPM – The International System of Units (SI Brochure, 9th edition)",
      "url": "https://www.bipm.org/en/publications/si-brochure",
      "type": "standard",
      "retrieved_at": "2026-09-24"
    },
    {
      "name": "Wikipedia – Conversion of units",
      "url": "https://en.wikipedia.org/wiki/Conversion_of_units",
      "type": "reference",
      "retrieved_at": "2026-09-24"
    }
  ],
  "freshness": {
    "type": "static",
    "max_age_seconds": null,
    "note": "Fixed conversion factors (NIST/BIPM definitions); results never go stale."
  },
  "api": {
    "convert": "https://tttkmbb.com/api/v1/convert?value=5&from_unit=grad&to_unit=deg",
    "calculator": "https://tttkmbb.com/api/v1/calculate/angle?value=5&from_unit=grad&to_unit=deg",
    "mcp_tool": "convert_units",
    "mcp_arguments": {
      "value": 5,
      "from_unit": "grad",
      "to_unit": "deg"
    }
  },
  "links": {
    "html": "https://tttkmbb.com/conversion/gradians-to-degrees",
    "markdown": "https://tttkmbb.com/conversion/gradians-to-degrees.md",
    "json": "https://tttkmbb.com/conversion/gradians-to-degrees.json",
    "reverse": "https://tttkmbb.com/conversion/degrees-to-gradians",
    "quantity_converter": "https://tttkmbb.com/conversion/angle",
    "units": "https://tttkmbb.com/api/v1/units?quantity=angle"
  },
  "timestamp": "2026-09-24"
}