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