{
  "entity_type": "unit_conversion_page",
  "id": "milliradians-to-degrees",
  "name": "Milliradians to Degrees",
  "title": "Milliradians to Degrees Converter (mrad to °)",
  "description": "Convert milliradians to degrees: 1 mrad = 0.0572958 °. 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": "mrad",
    "display": "mrad",
    "name": "milliradians",
    "singular": "milliradian"
  },
  "to_unit": {
    "symbol": "deg",
    "display": "°",
    "name": "degrees",
    "singular": "degree"
  },
  "linear": true,
  "factor": 0.05729577951,
  "inverse_factor": 17.45329252,
  "formula": "degrees = milliradians × 0.05729577951",
  "reverse_formula": "milliradians = degrees × 17.45329252",
  "unit_relation": "1 mrad = 0.0572958 °",
  "examples": [
    {
      "value": 5,
      "result": 0.286479,
      "text": "5 mrad = 0.286479 °"
    },
    {
      "value": 12.5,
      "result": 0.716197,
      "text": "12.5 mrad = 0.716197 °"
    },
    {
      "value": 100,
      "result": 5.72958,
      "text": "100 mrad = 5.72958 °"
    }
  ],
  "table": [
    {
      "mrad": 1,
      "deg": 0.0572958
    },
    {
      "mrad": 2,
      "deg": 0.114592
    },
    {
      "mrad": 3,
      "deg": 0.171887
    },
    {
      "mrad": 4,
      "deg": 0.229183
    },
    {
      "mrad": 5,
      "deg": 0.286479
    },
    {
      "mrad": 6,
      "deg": 0.343775
    },
    {
      "mrad": 7,
      "deg": 0.40107
    },
    {
      "mrad": 8,
      "deg": 0.458366
    },
    {
      "mrad": 9,
      "deg": 0.515662
    },
    {
      "mrad": 10,
      "deg": 0.572958
    },
    {
      "mrad": 15,
      "deg": 0.859437
    },
    {
      "mrad": 20,
      "deg": 1.14592
    },
    {
      "mrad": 25,
      "deg": 1.43239
    },
    {
      "mrad": 30,
      "deg": 1.71887
    },
    {
      "mrad": 40,
      "deg": 2.29183
    },
    {
      "mrad": 50,
      "deg": 2.86479
    },
    {
      "mrad": 75,
      "deg": 4.29718
    },
    {
      "mrad": 100,
      "deg": 5.72958
    },
    {
      "mrad": 200,
      "deg": 11.4592
    },
    {
      "mrad": 250,
      "deg": 14.3239
    },
    {
      "mrad": 500,
      "deg": 28.6479
    },
    {
      "mrad": 1000,
      "deg": 57.2958
    }
  ],
  "faq": [
    {
      "q": "How many degrees are in one milliradian?",
      "a": "1 mrad = 0.0572958 °. 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 milliradians to degrees?",
      "a": "Multiply the value in milliradians by 0.05729577951: degrees = milliradians × 0.05729577951. For example, 5 mrad = 0.286479 °."
    },
    {
      "q": "How do I convert degrees back to milliradians?",
      "a": "Multiply by the inverse factor 17.45329252 (milliradians = degrees × 17.45329252), or use the degrees-to-milliradians 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=mrad&to_unit=deg",
    "calculator": "https://tttkmbb.com/api/v1/calculate/angle?value=5&from_unit=mrad&to_unit=deg",
    "mcp_tool": "convert_units",
    "mcp_arguments": {
      "value": 5,
      "from_unit": "mrad",
      "to_unit": "deg"
    }
  },
  "links": {
    "html": "https://tttkmbb.com/conversion/milliradians-to-degrees",
    "markdown": "https://tttkmbb.com/conversion/milliradians-to-degrees.md",
    "json": "https://tttkmbb.com/conversion/milliradians-to-degrees.json",
    "reverse": "https://tttkmbb.com/conversion/degrees-to-milliradians",
    "quantity_converter": "https://tttkmbb.com/conversion/angle",
    "units": "https://tttkmbb.com/api/v1/units?quantity=angle"
  },
  "timestamp": "2026-09-24"
}