How to use this Milli-radians to Gradians Converter 🤔
Follow these steps to convert given angle from the units of Milli-radians to the units of Gradians.
Enter the input Milli-radians value in the text field.
The calculator converts the given Milli-radians into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians 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 Gradians?
The formula to convert given angle from Milli-radians to Gradians is:
Angle(Gradians) = Angle(Milli-radians) / (5 × π)
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 gradians, i.e., Angle(Gradians).
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 Gradians.
Answer:
Given:
The angle in milli-radians is:
Angle(Milli-radians) = 2
Formula:
The formula to convert angle from milli-radians to gradians is:
Angle(Gradians) = Angle(Milli-radians) / (5 × π)
Substitution:
Substitute given weight Angle(Milli-radians) = 2 in the above formula.
Angle(Gradians) = 2 / (5 × 3.14159265359)
Angle(Gradians) = 0.1273
Final Answer:
Therefore, 2 mrad is equal to 0.1273 gon.
The angle is 0.1273 gon, in gradians.
2
Consider that a military rangefinder uses 5 milliradians for precise targeting. Convert this angle from milliradians to Gradians.
Answer:
Given:
The angle in milli-radians is:
Angle(Milli-radians) = 5
Formula:
The formula to convert angle from milli-radians to gradians is:
Angle(Gradians) = Angle(Milli-radians) / (5 × π)
Substitution:
Substitute given weight Angle(Milli-radians) = 5 in the above formula.
Angle(Gradians) = 5 / (5 × 3.14159265359)
Angle(Gradians) = 0.3183
Final Answer:
Therefore, 5 mrad is equal to 0.3183 gon.
The angle is 0.3183 gon, in gradians.
Milli-radians to Gradians Conversion Table
The following table gives some of the most used conversions from Milli-radians to Gradians.
Milli-radians (mrad)
Gradians (gon)
0 mrad
0 gon
1 mrad
0.06366197724gon
10 mrad
0.6366gon
45 mrad
2.8648gon
90 mrad
5.7296gon
180 mrad
11.4592gon
360 mrad
22.9183gon
1000 mrad
63.662gon
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.
Gradians
Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Milli-radians to Gradians in Angle?
The formula to convert Milli-radians to Gradians in Angle is:
Milli-radians / (5 * π)
2. Is this tool free or paid?
This Angle conversion tool, which converts Milli-radians to Gradians, is completely free to use.
3. How do I convert Angle from Milli-radians to Gradians?
To convert Angle from Milli-radians to Gradians, you can use the following formula:
Milli-radians / (5 * π)
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 Gradians.
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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 Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / (5 × π)</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>(Gradians)</sub></span> = <span>2</span> / (5 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.1273</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 mrad</strong> is equal to <strong>0.1273 gon</strong>.</p>\n <p>The angle is <strong>0.1273 gon</strong>, in gradians.</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 Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Milli-radians)</sub></span> / (5 × π)</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>(Gradians)</sub></span> = <span>5</span> / (5 × 3.14159265359)</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 0.3183</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>5 mrad</strong> is equal to <strong>0.3183 gon</strong>.</p>\n <p>The angle is <strong>0.3183 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Milli-radians</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Milli-radians to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">mrad</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">mrad</span></td><td>0<span>.06366197724</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">mrad</span></td><td>0<span>.6366</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">mrad</span></td><td>2<span>.8648</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">mrad</span></td><td>5<span>.7296</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">mrad</span></td><td>11<span>.4592</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">mrad</span></td><td>22<span>.9183</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">mrad</span></td><td>63<span>.662</span> <span class=\"unit\">gon</span></td></tr></table>",
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