How to use this Milli-radians to Radians Converter 🤔
Follow these steps to convert given Milli-radians value from Milli-radians units to Radians units.
Enter the input Milli-radians value in the text field.
The given Milli-radians is converted to Radians in realtime ⌚ using the formula, and displayed under the Radians label.
You may copy the resulting Radians value using the Copy button.
Formula
To convert given angle from Milli-radians to Radians, use the following formula.
Radians = Milli-radians / 1000
Calculation
Calculation will be done after you enter a valid input.
Milli-radians to Radians Conversion Table
The following table gives some of the most used conversions from Milli-radians to Radians.
Milli-radians (mrad)
Radians (rad)
0 mrad
0 rad
1 mrad
0.001rad
10 mrad
0.01rad
45 mrad
0.045rad
90 mrad
0.09rad
180 mrad
0.18rad
360 mrad
0.36rad
1000 mrad
1 rad
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.
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.
{
"conversion": "milliradians-radians",
"x_slug": "milliradians",
"y_slug": "radians",
"x": "mrad",
"y": "rad",
"x_desc": "Milli-radians",
"y_desc": "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 sniper adjusts their scope by 2 milliradians for long-distance accuracy.<br>Convert this angle from milliradians to Radians.</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 radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / 1000</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>(Radians)</sub></span> = <span>2</span> / 1000</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.002</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 mrad</strong> is equal to <strong>0.002 rad</strong>.</p>\n <p>The angle is <strong>0.002 rad</strong>, in 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 military rangefinder uses 5 milliradians for precise targeting.<br>Convert this angle from milliradians to Radians.</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 radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Radians)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / 1000</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>(Radians)</sub></span> = <span>5</span> / 1000</p>\n <p class=\"step\"><span>Angle<sub>(Radians)</sub></span> = 0.005</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>5 mrad</strong> is equal to <strong>0.005 rad</strong>.</p>\n <p>The angle is <strong>0.005 rad</strong>, in radians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Milli-radians</span> to <span class=\"y\">Radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Milli-radians to Radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">mrad</span></td><td>0 <span class=\"unit\">rad</span></td></tr><tr><td>1 <span class=\"unit\">mrad</span></td><td>0<span>.001</span> <span class=\"unit\">rad</span></td></tr><tr><td>10 <span class=\"unit\">mrad</span></td><td>0<span>.01</span> <span class=\"unit\">rad</span></td></tr><tr><td>45 <span class=\"unit\">mrad</span></td><td>0<span>.045</span> <span class=\"unit\">rad</span></td></tr><tr><td>90 <span class=\"unit\">mrad</span></td><td>0<span>.09</span> <span class=\"unit\">rad</span></td></tr><tr><td>180 <span class=\"unit\">mrad</span></td><td>0<span>.18</span> <span class=\"unit\">rad</span></td></tr><tr><td>360 <span class=\"unit\">mrad</span></td><td>0<span>.36</span> <span class=\"unit\">rad</span></td></tr><tr><td>1000 <span class=\"unit\">mrad</span></td><td>1 <span class=\"unit\">rad</span></td></tr></table>",
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"y_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.",
"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."
}