How to use this Milli-radians to Radians Converter 🤔
Follow these steps to convert given angle from the units of Milli-radians to the units of Radians.
Enter the input Milli-radians value in the text field.
The calculator converts the given Milli-radians into Radians in realtime ⌚ using the conversion formula, and displays under the Radians label. You do not need to click any button. If the input changes, Radians value is re-calculated, just like that.
You may copy the resulting Radians value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Milli-radians to Radians?
The formula to convert given angle from Milli-radians to Radians is:
Angle(Radians) = Angle(Milli-radians) / 1000
Substitute the given value of angle in milli-radians, i.e., Angle(Milli-radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in radians, i.e., Angle(Radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy. Convert this angle from milliradians to Radians.
Answer:
Given:
The angle in milli-radians is:
Angle(Milli-radians) = 2
Formula:
The formula to convert angle from milli-radians to radians is:
Angle(Radians) = Angle(Milli-radians) / 1000
Substitution:
Substitute given weight Angle(Milli-radians) = 2 in the above formula.
Angle(Radians) = 2 / 1000
Angle(Radians) = 0.002
Final Answer:
Therefore, 2 mrad is equal to 0.002 rad.
The angle is 0.002 rad, in radians.
2
Consider that a military rangefinder uses 5 milliradians for precise targeting. Convert this angle from milliradians to Radians.
Answer:
Given:
The angle in milli-radians is:
Angle(Milli-radians) = 5
Formula:
The formula to convert angle from milli-radians to radians is:
Angle(Radians) = Angle(Milli-radians) / 1000
Substitution:
Substitute given weight Angle(Milli-radians) = 5 in the above formula.
Angle(Radians) = 5 / 1000
Angle(Radians) = 0.005
Final Answer:
Therefore, 5 mrad is equal to 0.005 rad.
The angle is 0.005 rad, in radians.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Milli-radians to Radians in Angle?
The formula to convert Milli-radians to Radians in Angle is:
Milli-radians / 1000
2. Is this tool free or paid?
This Angle conversion tool, which converts Milli-radians to Radians, is completely free to use.
3. How do I convert Angle from Milli-radians to Radians?
To convert Angle from Milli-radians to Radians, you can use the following formula:
Milli-radians / 1000
For example, if you have a value in Milli-radians, you substitute that value in place of Milli-radians in the above formula, and solve the mathematical expression to get the equivalent value in Radians.
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"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 ",
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"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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