Follow these steps to convert given Degrees value from Degrees units to Gradians units.
Enter the input Degrees value in the text field.
The given Degrees 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 Degrees to Gradians, use the following formula.
Gradians = Degrees * 10 / 9
Calculation
Calculation will be done after you enter a valid input.
Degrees to Gradians Conversion Table
The following table gives some of the most used conversions from Degrees to Gradians.
Degrees (°)
Gradians (gon)
0 °
0 gon
1 °
1.1111gon
10 °
11.1111gon
45 °
50 gon
90 °
100 gon
180 °
200 gon
360 °
400 gon
1000 °
1111.1111gon
Degrees
Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.
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": "degrees-gradians",
"x_slug": "degrees",
"y_slug": "gradians",
"x": "°",
"y": "gon",
"x_desc": "Degrees",
"y_desc": "Gradians",
"category": "Angle",
"symbol": "m",
"formula": "x * 10 / 9",
"precision": 11,
"examples": "<div class=\"example\">\n <div class=\"example_head\"><span class=\"example_n\">1</span>\n <h3 class=\"question\">Consider that a solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of solar panel in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 45</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 10 / 9</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of solar panel, <strong>Angle<sub>(Degrees)</sub> = 45</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>45</span> × 10 / 9</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 50</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>45 °</strong> is equal to <strong>50 gon</strong>.</p>\n <p>The angle of solar panel is <strong>50 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 camera tripod allows for a 30-degree adjustment to capture the perfect shot.<br>Convert this angle from degrees to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle of camera tripod in degrees is:</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 30</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from degrees to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> × 10 / 9</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight of camera tripod, <strong>Angle<sub>(Degrees)</sub> = 30</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>30</span> × 10 / 9</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 33.3333</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>33.3333 gon</strong>.</p>\n <p>The angle of camera tripod is <strong>33.3333 gon</strong>, in gradians.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Degrees</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Degrees to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>1<span>.1111</span> <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>11<span>.1111</span> <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>50 <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>100 <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>200 <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>400 <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>1111<span>.1111</span> <span class=\"unit\">gon</span></td></tr></table>",
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[
"degrees",
"Degrees",
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],
[
"radians",
"Radians",
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],
[
"gradians",
"Gradians",
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[
"minutes",
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"'"
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[
"seconds",
"Seconds",
"\""
],
[
"turns",
"Turns",
"turn"
],
[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
],
[
"diameter_part",
"Diameter Parts",
"diameter part"
],
[
"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"
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[
"pi_radians",
"π Radians",
"π radians"
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[
"zam",
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],
"x_long_desc": "Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.",
"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."
}
ConvertOnline