How to use this Radians to Milli-radians Converter 🤔
Follow these steps to convert given angle from the units of Radians to the units of Milli-radians.
Enter the input Radians value in the text field.
The calculator converts the given Radians into Milli-radians in realtime ⌚ using the conversion formula, and displays under the Milli-radians label. You do not need to click any button. If the input changes, Milli-radians value is re-calculated, just like that.
You may copy the resulting Milli-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 Radians to Milli-radians?
The formula to convert given angle from Radians to Milli-radians is:
Angle(Milli-radians) = Angle(Radians) × 1000
Substitute the given value of angle in radians, i.e., Angle(Radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in milli-radians, i.e., Angle(Milli-radians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a robotic arm rotates by 1.5 radians to position an object accurately. Convert this angle from radians to Milli-radians.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 1.5
Formula:
The formula to convert angle from radians to milli-radians is:
Angle(Milli-radians) = Angle(Radians) × 1000
Substitution:
Substitute given weight Angle(Radians) = 1.5 in the above formula.
Angle(Milli-radians) = 1.5 × 1000
Angle(Milli-radians) = 1500
Final Answer:
Therefore, 1.5 rad is equal to 1500 mrad.
The angle is 1500 mrad, in milli-radians.
2
Consider that a satellite dish adjusts by 0.75 radians to align with a signal. Convert this angle from radians to Milli-radians.
Answer:
Given:
The angle in radians is:
Angle(Radians) = 0.75
Formula:
The formula to convert angle from radians to milli-radians is:
Angle(Milli-radians) = Angle(Radians) × 1000
Substitution:
Substitute given weight Angle(Radians) = 0.75 in the above formula.
Angle(Milli-radians) = 0.75 × 1000
Angle(Milli-radians) = 750
Final Answer:
Therefore, 0.75 rad is equal to 750 mrad.
The angle is 750 mrad, in milli-radians.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Radians to Milli-radians in Angle?
The formula to convert Radians to Milli-radians in Angle is:
Radians * 1000
2. Is this tool free or paid?
This Angle conversion tool, which converts Radians to Milli-radians, is completely free to use.
3. How do I convert Angle from Radians to Milli-radians?
To convert Angle from Radians to Milli-radians, you can use the following formula:
Radians * 1000
For example, if you have a value in Radians, you substitute that value in place of Radians in the above formula, and solve the mathematical expression to get the equivalent value in Milli-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 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 ",
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"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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