How to use this Milli-radians to Gradians Converter 🤔
Follow these steps to convert given Milli-radians value from Milli-radians units to Gradians units.
Enter the input Milli-radians value in the text field.
The given Milli-radians is converted to Gradians in realtime ⌚ using the formula, and displayed under the Gradians label.
You may copy the resulting Gradians value using the Copy button.
Formula
To convert given angle from Milli-radians to Gradians, use the following formula.
Gradians = Milli-radians / (5 * π)
Calculation
Calculation will be done after you enter a valid input.
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.
{
"conversion": "milliradians-gradians",
"x_slug": "milliradians",
"y_slug": "gradians",
"x": "mrad",
"y": "gon",
"x_desc": "Milli-radians",
"y_desc": "Gradians",
"category": "Angle",
"symbol": "m",
"formula": "x / (5 * π)",
"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 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 × Ï€)</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 × Ï€)</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 ",
"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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"y_long_desc": "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.",
"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."
}
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