How to use this Radians to Gradians Converter 🤔
Follow these steps to convert given Radians value from Radians units to Gradians units.
Enter the input Radians value in the text field.
The given 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 Radians to Gradians, use the following formula.
Gradians = Radians * 200 / π
Calculation
Calculation will be done after you enter a valid input.
Radians to Gradians Conversion Table
The following table gives some of the most used conversions from Radians to Gradians.
Radians (rad)
Gradians (gon)
0 rad
0 gon
1 rad
63.662gon
10 rad
636.6198gon
45 rad
2864.789gon
90 rad
5729.578gon
180 rad
11459.1559gon
360 rad
22918.3118gon
1000 rad
63661.9772gon
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.
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": "radians-gradians",
"x_slug": "radians",
"y_slug": "gradians",
"x": "rad",
"y": "gon",
"x_desc": "Radians",
"y_desc": "Gradians",
"category": "Angle",
"symbol": "m",
"formula": "x * 200 / 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 robotic arm rotates by 1.5 radians to position an object accurately.<br>Convert this angle from radians to Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 200 / Ï€</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>(Gradians)</sub></span> = <span>1.5</span> × 200 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 95.493</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>1.5 rad</strong> is equal to <strong>95.493 gon</strong>.</p>\n <p>The angle is <strong>95.493 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 satellite dish adjusts by 0.75 radians to align with a signal.<br>Convert this angle from radians to Gradians.</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 gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Radians)</sub></span> × 200 / Ï€</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>(Gradians)</sub></span> = <span>0.75</span> × 200 / 3.14159265359</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 47.7465</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.75 rad</strong> is equal to <strong>47.7465 gon</strong>.</p>\n <p>The angle is <strong>47.7465 gon</strong>, in gradians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Radians</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Radians to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Radians (<span class=\"unit\">rad</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">rad</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">rad</span></td><td>63<span>.662</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">rad</span></td><td>636<span>.6198</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">rad</span></td><td>2864<span>.789</span> <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">rad</span></td><td>5729<span>.578</span> <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">rad</span></td><td>11459<span>.1559</span> <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">rad</span></td><td>22918<span>.3118</span> <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">rad</span></td><td>63661<span>.9772</span> <span class=\"unit\">gon</span></td></tr></table>",
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[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
],
[
"minutes",
"Minutes",
"'"
],
[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
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[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
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[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
],
[
"right_angles",
"Right Angles",
"right angle"
],
[
"milliradians",
"Milli-radians",
"mrad"
],
[
"quadrants",
"Quadrants",
"quadrant"
],
[
"sextants",
"Sextants",
"sextant"
],
[
"pi_radians",
"Ï€ Radians",
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],
[
"zam",
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"zam"
]
],
"x_long_desc": "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.",
"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."
}
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