How to use this Minutes to Milli-radians Converter 🤔
Follow these steps to convert given Minutes value from Minutes units to Milli-radians units.
Enter the input Minutes value in the text field.
The given Minutes 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 Minutes to Milli-radians, use the following formula.
Milli-radians = Minutes * π / 10.8
Calculation
Calculation will be done after you enter a valid input.
Minutes to Milli-radians Conversion Table
The following table gives some of the most used conversions from Minutes to Milli-radians.
Minutes (')
Milli-radians (mrad)
0 '
0 mrad
1 '
0.2909mrad
10 '
2.9089mrad
45 '
13.09mrad
90 '
26.1799mrad
180 '
52.3599mrad
360 '
104.7198mrad
1000 '
290.8882mrad
Minutes
Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.
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": "minutes-milliradians",
"x_slug": "minutes",
"y_slug": "milliradians",
"x": "'",
"y": "mrad",
"x_desc": "Minutes",
"y_desc": "Milli-radians",
"category": "Angle",
"symbol": "m",
"formula": "x * π / 10.8",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that an astronomer adjusts a telescope by 15 minutes of arc to focus on a distant star.<br>Convert this angle from minutes to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 15</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> × Ï€ / 10.8</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 15</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>15</span> × 3.14159265359 / 10.8</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 4.3633</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>15 '</strong> is equal to <strong>4.3633 mrad</strong>.</p>\n <p>The angle is <strong>4.3633 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 surveyor sets the angle of a theodolite to 10 minutes for precise measurement.<br>Convert this angle from minutes to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in minutes is:</p>\n <p class=\"step\"><span>Angle<sub>(Minutes)</sub></span> = 10</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from minutes to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Minutes)</sub></span> × Ï€ / 10.8</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Minutes)</sub> = 10</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>10</span> × 3.14159265359 / 10.8</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 2.9089</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>10 '</strong> is equal to <strong>2.9089 mrad</strong>.</p>\n <p>The angle is <strong>2.9089 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Minutes</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Minutes to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Minutes (<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>0<span>.2909</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">'</span></td><td>2<span>.9089</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">'</span></td><td>13<span>.09</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">'</span></td><td>26<span>.1799</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">'</span></td><td>52<span>.3599</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">'</span></td><td>104<span>.7198</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">'</span></td><td>290<span>.8882</span> <span class=\"unit\">mrad</span></td></tr></table>",
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[
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[
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[
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[
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[
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"x_long_desc": "Minutes of arc are a finer subdivision of degrees, with 60 minutes making up one degree. Each minute is further divided into 60 seconds of arc. This unit allows for precise angular measurements and is commonly used in fields like astronomy, navigation, and geodesy, where detailed accuracy is required for mapping and celestial observations.",
"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."
}