How to use this Milli-radians to Degrees Converter 🤔
Follow these steps to convert given Milli-radians value from Milli-radians units to Degrees units.
Enter the input Milli-radians value in the text field.
The given Milli-radians is converted to Degrees in realtime ⌚ using the formula, and displayed under the Degrees label.
You may copy the resulting Degrees value using the Copy button.
Formula
To convert given angle from Milli-radians to Degrees, use the following formula.
Degrees = Milli-radians * 360 / (2000 * π)
Calculation
Calculation will be done after you enter a valid input.
Milli-radians to Degrees Conversion Table
The following table gives some of the most used conversions from Milli-radians to Degrees.
Milli-radians (mrad)
Degrees (°)
0 mrad
0 °
1 mrad
0.05729577951°
10 mrad
0.573°
45 mrad
2.5783°
90 mrad
5.1566°
180 mrad
10.3132°
360 mrad
20.6265°
1000 mrad
57.2958°
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.
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.
{
"conversion": "milliradians-degrees",
"x_slug": "milliradians",
"y_slug": "degrees",
"x": "mrad",
"y": "°",
"x_desc": "Milli-radians",
"y_desc": "Degrees",
"category": "Angle",
"symbol": "m",
"formula": "x * 360 / (2000 * π)",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.<br>Convert this angle from milliradians to Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in milli-radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 2</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from milli-radians to degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> × 360 / (2000 × π)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Milli-radians)</sub> = 2</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = <span>2</span> × 360 / (2000 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 0.1146</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 mrad</strong> is equal to <strong>0.1146 °</strong>.</p>\n <p>The angle is <strong>0.1146 °</strong>, in degrees.</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 military rangefinder uses 5 milliradians for precise targeting.<br>Convert this angle from milliradians to Degrees.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in milli-radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from milli-radians to degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> × 360 / (2000 × π)</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Milli-radians)</sub> = 5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = <span>5</span> × 360 / (2000 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 0.2865</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>5 mrad</strong> is equal to <strong>0.2865 °</strong>.</p>\n <p>The angle is <strong>0.2865 °</strong>, in degrees.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Milli-radians</span> to <span class=\"y\">Degrees</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Milli-radians to Degrees.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">mrad</span></td><td>0 <span class=\"unit\">°</span></td></tr><tr><td>1 <span class=\"unit\">mrad</span></td><td>0<span>.05729577951</span> <span class=\"unit\">°</span></td></tr><tr><td>10 <span class=\"unit\">mrad</span></td><td>0<span>.573</span> <span class=\"unit\">°</span></td></tr><tr><td>45 <span class=\"unit\">mrad</span></td><td>2<span>.5783</span> <span class=\"unit\">°</span></td></tr><tr><td>90 <span class=\"unit\">mrad</span></td><td>5<span>.1566</span> <span class=\"unit\">°</span></td></tr><tr><td>180 <span class=\"unit\">mrad</span></td><td>10<span>.3132</span> <span class=\"unit\">°</span></td></tr><tr><td>360 <span class=\"unit\">mrad</span></td><td>20<span>.6265</span> <span class=\"unit\">°</span></td></tr><tr><td>1000 <span class=\"unit\">mrad</span></td><td>57<span>.2958</span> <span class=\"unit\">°</span></td></tr></table>",
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[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
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[
"minutes",
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[
"seconds",
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[
"turns",
"Turns",
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[
"circles",
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[
"binary_degrees",
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[
"compass_points",
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"compass point"
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[
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"diameter part"
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[
"hexacontades",
"Hexa-Contades",
"hexacontade"
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[
"hour_angles",
"Hour Angles",
"hour angle"
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[
"right_angles",
"Right Angles",
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[
"milliradians",
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[
"quadrants",
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[
"sextants",
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[
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[
"zam",
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"y_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.",
"x_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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