How to use this Gradians to Milli-radians Converter 🤔
Follow these steps to convert given angle from the units of Gradians to the units of Milli-radians.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians 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 Gradians to Milli-radians?
The formula to convert given angle from Gradians to Milli-radians is:
Angle(Milli-radians) = Angle(Gradians) × 5 × π
Substitute the given value of angle in gradians, i.e., Angle(Gradians) 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 precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Milli-radians.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to milli-radians is:
Angle(Milli-radians) = Angle(Gradians) × 5 × π
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Milli-radians) = 100 × 5 × 3.14159265359
Angle(Milli-radians) = 1570.7963
Final Answer:
Therefore, 100 gon is equal to 1570.7963 mrad.
The angle is 1570.7963 mrad, in milli-radians.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Milli-radians.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to milli-radians is:
Angle(Milli-radians) = Angle(Gradians) × 5 × π
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Milli-radians) = 90 × 5 × 3.14159265359
Angle(Milli-radians) = 1413.7167
Final Answer:
Therefore, 90 gon is equal to 1413.7167 mrad.
The angle is 1413.7167 mrad, in milli-radians.
Gradians to Milli-radians Conversion Table
The following table gives some of the most used conversions from Gradians to Milli-radians.
Gradians (gon)
Milli-radians (mrad)
0 gon
0 mrad
1 gon
15.708mrad
10 gon
157.0796mrad
45 gon
706.8583mrad
90 gon
1413.7167mrad
180 gon
2827.4334mrad
360 gon
5654.8668mrad
1000 gon
15707.9633mrad
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.
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 Gradians to Milli-radians in Angle?
The formula to convert Gradians to Milli-radians in Angle is:
Gradians * 5 * π
2. Is this tool free or paid?
This Angle conversion tool, which converts Gradians to Milli-radians, is completely free to use.
3. How do I convert Angle from Gradians to Milli-radians?
To convert Angle from Gradians to Milli-radians, you can use the following formula:
Gradians * 5 * π
For example, if you have a value in Gradians, you substitute that value in place of Gradians 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 precision engineering tool adjusts by 100 gradians.<br>Convert this angle from gradians to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 100</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> × 5 × π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 100</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>100</span> × 5 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 1570.7963</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>1570.7963 mrad</strong>.</p>\n <p>The angle is <strong>1570.7963 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 civil engineer designs a slope with an angle of 90 gradians.<br>Convert this angle from gradians to Milli-radians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in gradians is:</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 90</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from gradians to milli-radians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> × 5 × π</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Gradians)</sub> = 90</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = <span>90</span> × 5 × 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Milli-radians)</sub></span> = 1413.7167</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>1413.7167 mrad</strong>.</p>\n <p>The angle is <strong>1413.7167 mrad</strong>, in milli-radians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">Milli-radians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to Milli-radians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">Milli-radians (<span class=\"unit\">mrad</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">mrad</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>15<span>.708</span> <span class=\"unit\">mrad</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>157<span>.0796</span> <span class=\"unit\">mrad</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>706<span>.8583</span> <span class=\"unit\">mrad</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>1413<span>.7167</span> <span class=\"unit\">mrad</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>2827<span>.4334</span> <span class=\"unit\">mrad</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>5654<span>.8668</span> <span class=\"unit\">mrad</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>15707<span>.9633</span> <span class=\"unit\">mrad</span></td></tr></table>",
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