{
  "entity_type": "unit_conversion_page",
  "id": "degrees-to-gradians",
  "name": "Degrees to Gradians",
  "title": "Degrees to Gradians Converter (° to grad)",
  "description": "Convert degrees to gradians: 1 ° = 1.11111 grad. 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": "deg",
    "display": "°",
    "name": "degrees",
    "singular": "degree"
  },
  "to_unit": {
    "symbol": "grad",
    "display": "grad",
    "name": "gradians",
    "singular": "gradian"
  },
  "linear": true,
  "factor": 1.111111111,
  "inverse_factor": 0.9,
  "formula": "gradians = degrees × 1.111111111",
  "reverse_formula": "degrees = gradians × 0.9",
  "unit_relation": "1 ° = 1.11111 grad",
  "examples": [
    {
      "value": 5,
      "result": 5.55556,
      "text": "5 ° = 5.55556 grad"
    },
    {
      "value": 12.5,
      "result": 13.8889,
      "text": "12.5 ° = 13.8889 grad"
    },
    {
      "value": 100,
      "result": 111.111,
      "text": "100 ° = 111.111 grad"
    }
  ],
  "table": [
    {
      "deg": 1,
      "grad": 1.11111
    },
    {
      "deg": 2,
      "grad": 2.22222
    },
    {
      "deg": 3,
      "grad": 3.33333
    },
    {
      "deg": 4,
      "grad": 4.44444
    },
    {
      "deg": 5,
      "grad": 5.55556
    },
    {
      "deg": 6,
      "grad": 6.66667
    },
    {
      "deg": 7,
      "grad": 7.77778
    },
    {
      "deg": 8,
      "grad": 8.88889
    },
    {
      "deg": 9,
      "grad": 10
    },
    {
      "deg": 10,
      "grad": 11.1111
    },
    {
      "deg": 15,
      "grad": 16.6667
    },
    {
      "deg": 20,
      "grad": 22.2222
    },
    {
      "deg": 25,
      "grad": 27.7778
    },
    {
      "deg": 30,
      "grad": 33.3333
    },
    {
      "deg": 40,
      "grad": 44.4444
    },
    {
      "deg": 50,
      "grad": 55.5556
    },
    {
      "deg": 75,
      "grad": 83.3333
    },
    {
      "deg": 100,
      "grad": 111.111
    },
    {
      "deg": 200,
      "grad": 222.222
    },
    {
      "deg": 250,
      "grad": 277.778
    },
    {
      "deg": 500,
      "grad": 555.556
    },
    {
      "deg": 1000,
      "grad": 1111.11
    }
  ],
  "faq": [
    {
      "q": "How many gradians are in one degree?",
      "a": "1 ° = 1.11111 grad. 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 degrees to gradians?",
      "a": "Multiply the value in degrees by 1.111111111: gradians = degrees × 1.111111111. For example, 5 ° = 5.55556 grad."
    },
    {
      "q": "How do I convert gradians back to degrees?",
      "a": "Multiply by the inverse factor 0.9 (degrees = gradians × 0.9), or use the gradians-to-degrees 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=deg&to_unit=grad",
    "calculator": "https://tttkmbb.com/api/v1/calculate/angle?value=5&from_unit=deg&to_unit=grad",
    "mcp_tool": "convert_units",
    "mcp_arguments": {
      "value": 5,
      "from_unit": "deg",
      "to_unit": "grad"
    }
  },
  "links": {
    "html": "https://tttkmbb.com/conversion/degrees-to-gradians",
    "markdown": "https://tttkmbb.com/conversion/degrees-to-gradians.md",
    "json": "https://tttkmbb.com/conversion/degrees-to-gradians.json",
    "reverse": "https://tttkmbb.com/conversion/gradians-to-degrees",
    "quantity_converter": "https://tttkmbb.com/conversion/angle",
    "units": "https://tttkmbb.com/api/v1/units?quantity=angle"
  },
  "timestamp": "2026-09-24"
}