How to use this Degrees to Milli-radians Converter 🤔
Follow these steps to convert given Degrees value from Degrees units to Milli-radians units.
Enter the input Degrees value in the text field.
The given Degrees is converted to Milli-radians in realtime ⌚ using the formula, and displayed under the Milli-radians label.
You may copy the resulting Milli-radians value using the Copy button.
Formula
To convert given angle from Degrees to Milli-radians, use the following formula.
Milli-radians = Degrees * 2000 * π / 360
Calculation
Calculation will be done after you enter a valid input.
Degrees to Milli-radians Conversion Table
The following table gives some of the most used conversions from Degrees to Milli-radians.
Degrees (°)
Milli-radians (mrad)
0 °
0 mrad
1 °
17.4533mrad
10 °
174.5329mrad
45 °
785.3982mrad
90 °
1570.7963mrad
180 °
3141.5927mrad
360 °
6283.1853mrad
1000 °
17453.2925mrad
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
Milli-radians
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.
{
"conversion": "degrees-milliradians",
"x_slug": "degrees",
"y_slug": "milliradians",
"x": "°",
"y": "mrad",
"x_desc": "Degrees",
"y_desc": "Milli-radians",
"category": "Angle",
"symbol": "m",
"formula": "x * 2000 * π / 360",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of solar panel in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 45</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 2000 × π / 360</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of solar panel, <strong>Angle<sub>(Degrees)</sub> = 45</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>45</span> × 2000 × 3.14159265359 / 360</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 785.3982</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>45 °</strong> is equal to <strong>785.3982 mrad</strong>.</p>\n <p>The angle of solar panel is <strong>785.3982 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 camera tripod allows for a 30-degree adjustment to capture the perfect shot.<br>Convert this angle from degrees to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of camera tripod in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 2000 × π / 360</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of camera tripod, <strong>Angle<sub>(Degrees)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>30</span> × 2000 × 3.14159265359 / 360</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 523.5988</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>523.5988 mrad</strong>.</p>\n <p>The angle of camera tripod is <strong>523.5988 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Degrees</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Degrees to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>17<span>.4533</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>174<span>.5329</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>785<span>.3982</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>1570<span>.7963</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>3141<span>.5927</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>6283<span>.1853</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>17453<span>.2925</span> <span class=\"unit\">mrad</span></td></tr></table>",
"units": [
[
"degrees",
"Degrees",
"°"
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[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
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[
"minutes",
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],
[
"seconds",
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[
"turns",
"Turns",
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[
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[
"binary_degrees",
"Binary Degrees",
"°"
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[
"compass_points",
"Compass Points",
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[
"diameter_part",
"Diameter Parts",
"diameter part"
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[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
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[
"right_angles",
"Right Angles",
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[
"milliradians",
"Milli-radians",
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[
"quadrants",
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[
"sextants",
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[
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[
"zam",
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],
"x_long_desc": "Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.",
"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."
}
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