How to use this Circles to Milli-radians Converter 🤔
Follow these steps to convert given Circles value from Circles units to Milli-radians units.
Enter the input Circles value in the text field.
The given Circles 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 Circles to Milli-radians, use the following formula.
Milli-radians = Circles * 2000 * π
Calculation
Calculation will be done after you enter a valid input.
Circles to Milli-radians Conversion Table
The following table gives some of the most used conversions from Circles to Milli-radians.
Circles (circle)
Milli-radians (mrad)
0 circle
0 mrad
1 circle
6283.1853mrad
10 circle
62831.8531mrad
45 circle
282743.3388mrad
90 circle
565486.6776mrad
180 circle
1130973.3553mrad
360 circle
2261946.7106mrad
1000 circle
6283185.3072mrad
Circles
Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.
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": "circles-milliradians",
"x_slug": "circles",
"y_slug": "milliradians",
"x": "circle",
"y": "mrad",
"x_desc": "Circles",
"y_desc": "Milli-radians",
"category": "Angle",
"symbol": "m",
"formula": "x * 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 Ferris wheel rotates through 0.5 circles during one ride.<br>Convert this rotation from circles to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in circles is:</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from circles to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 2000 × Ï€</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Circles)</sub> = 0.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>0.5</span> × 2000 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 3141.5927</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 circle</strong> is equal to <strong>3141.5927 mrad</strong>.</p>\n <p>The angle is <strong>3141.5927 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 drone completes 3 circles in the air during a maneuver.<br>Convert this rotation from circles to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in circles is:</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 3</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from circles to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 2000 × Ï€</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Circles)</sub> = 3</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>3</span> × 2000 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 18849.5559</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>3 circle</strong> is equal to <strong>18849.5559 mrad</strong>.</p>\n <p>The angle is <strong>18849.5559 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Circles</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Circles to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Circles (<span class=\"unit\">circle</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">circle</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">circle</span></td><td>6283<span>.1853</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">circle</span></td><td>62831<span>.8531</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">circle</span></td><td>282743<span>.3388</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">circle</span></td><td>565486<span>.6776</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">circle</span></td><td>1130973<span>.3553</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">circle</span></td><td>2261946<span>.7106</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">circle</span></td><td>6283185<span>.3072</span> <span class=\"unit\">mrad</span></td></tr></table>",
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"radians",
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[
"seconds",
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[
"circles",
"Circles",
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[
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[
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[
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"Diameter Parts",
"diameter part"
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[
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"Hexa-Contades",
"hexacontade"
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[
"hour_angles",
"Hour Angles",
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[
"right_angles",
"Right Angles",
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[
"milliradians",
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[
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[
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[
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[
"zam",
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],
"x_long_desc": "Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.",
"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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