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1. Convert Online
2. Unit
3. Angle
4. Diameter Parts to Milli-radians

{
  "conversion": "diameter_part-milliradians",
  "x_slug": "diameter_part",
  "y_slug": "milliradians",
  "x": "diameter part",
  "y": "mrad",
  "x_desc": "Diameter Parts",
  "y_desc": "Milli-radians",
  "category": "Angle",
  "symbol": "m",
  "formula": "x * 2000 * π / 376.991",
  "precision": 11,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that a mechanical watch's gear rotates by 12 diameter parts.<br>Convert this rotation from diameter parts to Milli-radians.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The angle  in diameter parts is:</p>\n        <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span>  = 12</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert angle from diameter parts to milli-radians is:</p>\n        <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span>  &times;  2000  &times;  π / 376.991</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Angle<sub>(Diameter Parts)</sub> = 12</strong> in the above formula.</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>12</span>  &times;  2000  &times;  3.14159265359 / 376.991</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 200.0001</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>12 diameter part</strong> is equal to <strong>200.0001 mrad</strong>.</p>\n        <p>The angle  is <strong>200.0001 mrad</strong>, in milli-radians.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that a precision tool rotates by 16 diameter parts for accurate measurements.<br>Convert this rotation from diameter parts to Milli-radians.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The angle  in diameter parts is:</p>\n        <p class=\"step\"><span>Angle<sub>(Diameter Parts)</sub></span>  = 16</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert angle from diameter parts to milli-radians is:</p>\n        <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Diameter Parts)</sub></span>  &times;  2000  &times;  π / 376.991</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Angle<sub>(Diameter Parts)</sub> = 16</strong> in the above formula.</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>16</span>  &times;  2000  &times;  3.14159265359 / 376.991</p>\n        <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 266.6668</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>16 diameter part</strong> is equal to <strong>266.6668 mrad</strong>.</p>\n        <p>The angle  is <strong>266.6668 mrad</strong>, in milli-radians.</p>\n        </div>\n      ",
  "table1n": "<h2><span class=\"x\">Diameter Parts</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Diameter Parts to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Diameter Parts (<span class=\"unit\">diameter part</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">diameter part</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">diameter part</span></td><td>16<span>.6667</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">diameter part</span></td><td>166<span>.6667</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">diameter part</span></td><td>750<span>.0002</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">diameter part</span></td><td>1500<span>.0005</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">diameter part</span></td><td>3000<span>.0009</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">diameter part</span></td><td>6000<span>.0019</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">diameter part</span></td><td>16666<span>.6719</span> <span class=\"unit\">mrad</span></td></tr></table>",
  "units": [
    [
      "degrees",
      "Degrees",
      "°"
    ],
    [
      "radians",
      "Radians",
      "rad"
    ],
    [
      "gradians",
      "Gradians",
      "gon"
    ],
    [
      "minutes",
      "Minutes",
      "'"
    ],
    [
      "seconds",
      "Seconds",
      "\""
    ],
    [
      "turns",
      "Turns",
      "turn"
    ],
    [
      "circles",
      "Circles",
      "circle"
    ],
    [
      "binary_degrees",
      "Binary Degrees",
      "°"
    ],
    [
      "compass_points",
      "Compass Points",
      "compass point"
    ],
    [
      "diameter_part",
      "Diameter Parts",
      "diameter part"
    ],
    [
      "hexacontades",
      "Hexa-Contades",
      "hexacontade"
    ],
    [
      "hour_angles",
      "Hour Angles",
      "hour angle"
    ],
    [
      "right_angles",
      "Right Angles",
      "right angle"
    ],
    [
      "milliradians",
      "Milli-radians",
      "mrad"
    ],
    [
      "quadrants",
      "Quadrants",
      "quadrant"
    ],
    [
      "sextants",
      "Sextants",
      "sextant"
    ],
    [
      "pi_radians",
      "π Radians",
      "π radians"
    ],
    [
      "zam",
      "Zam",
      "zam"
    ]
  ],
  "x_long_desc": "Diameter parts are a less common unit of angular measurement, historically used to describe angles in terms of the fractional parts of a circle's diameter. This unit was more prevalent in classical geometry and certain types of mechanical design, where direct relationships between linear measurements and angles were essential.",
  "y_long_desc": "Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments."
}