How to use this Radians to Milli-radians Converter 🤔
Follow these steps to convert given Radians value from Radians units to Milli-radians units.
Enter the input Radians value in the text field.
The given Radians 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 Radians to Milli-radians, use the following formula.
Milli-radians = Radians * 1000
Calculation
Calculation will be done after you enter a valid input.
Radians to Milli-radians Conversion Table
The following table gives some of the most used conversions from Radians to Milli-radians.
Radians (rad)
Milli-radians (mrad)
0 rad
0 mrad
1 rad
1000 mrad
10 rad
10000 mrad
45 rad
45000 mrad
90 rad
90000 mrad
180 rad
180000 mrad
360 rad
360000 mrad
1000 rad
1000000 mrad
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
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": "radians-milliradians",
"x_slug": "radians",
"y_slug": "milliradians",
"x": "rad",
"y": "mrad",
"x_desc": "Radians",
"y_desc": "Milli-radians",
"category": "Angle",
"symbol": "m",
"formula": "x * 1000",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a robotic arm rotates by 1.5 radians to position an object accurately.<br>Convert this angle from radians to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 1.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 1000</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 1.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>1.5</span> × 1000</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 1500</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>1500 mrad</strong>.</p>\n <p>The angle is <strong>1500 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 satellite dish adjusts by 0.75 radians to align with a signal.<br>Convert this angle from radians to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in radians is:</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.75</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from radians to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 1000</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Radians)</sub> = 0.75</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>0.75</span> × 1000</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 750</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>750 mrad</strong>.</p>\n <p>The angle is <strong>750 mrad</strong>, in milli-radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>1000 <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>10000 <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>45000 <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>90000 <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>180000 <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>360000 <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>1000000 <span class=\"unit\">mrad</span></td></tr></table>",
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[
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"circles",
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[
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[
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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": "Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.",
"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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