How to use this Gradians to Circles Converter 🤔
Follow these steps to convert given Gradians value from Gradians units to Circles units.
Enter the input Gradians value in the text field.
The given Gradians is converted to Circles in realtime ⌚ using the formula, and displayed under the Circles label.
You may copy the resulting Circles value using the Copy button.
Formula
To convert given angle from Gradians to Circles, use the following formula.
Circles = Gradians / 400
Calculation
Calculation will be done after you enter a valid input.
Gradians to Circles Conversion Table
The following table gives some of the most used conversions from Gradians to Circles.
Gradians (gon)
Circles (circle)
0 gon
0 circle
1 gon
0.0025circle
10 gon
0.025circle
45 gon
0.1125circle
90 gon
0.225circle
180 gon
0.45circle
360 gon
0.9circle
1000 gon
2.5circle
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.
Circles
Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.
{
"conversion": "gradians-circles",
"x_slug": "gradians",
"y_slug": "circles",
"x": "gon",
"y": "circle",
"x_desc": "Gradians",
"y_desc": "Circles",
"category": "Angle",
"symbol": "m",
"formula": "x / 400",
"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 Circles.</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 circles is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Circles)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 400</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>(Circles)</sub></span> = <span>100</span> / 400</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.25</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>100 gon</strong> is equal to <strong>0.25 circle</strong>.</p>\n <p>The angle is <strong>0.25 circle</strong>, in circles.</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 Circles.</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 circles is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Circles)</sub></span> = <span>Angle<sub>(Gradians)</sub></span> / 400</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>(Circles)</sub></span> = <span>90</span> / 400</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.225</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>90 gon</strong> is equal to <strong>0.225 circle</strong>.</p>\n <p>The angle is <strong>0.225 circle</strong>, in circles.</p>\n </div>\n ",
"table1n": "<h2><span class=\"x\">Gradians</span> to <span class=\"y\">Circles</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Gradians to Circles.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><th scope=\"column\" role=\"columnheader\">Circles (<span class=\"unit\">circle</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">gon</span></td><td>0 <span class=\"unit\">circle</span></td></tr><tr><td>1 <span class=\"unit\">gon</span></td><td>0<span>.0025</span> <span class=\"unit\">circle</span></td></tr><tr><td>10 <span class=\"unit\">gon</span></td><td>0<span>.025</span> <span class=\"unit\">circle</span></td></tr><tr><td>45 <span class=\"unit\">gon</span></td><td>0<span>.1125</span> <span class=\"unit\">circle</span></td></tr><tr><td>90 <span class=\"unit\">gon</span></td><td>0<span>.225</span> <span class=\"unit\">circle</span></td></tr><tr><td>180 <span class=\"unit\">gon</span></td><td>0<span>.45</span> <span class=\"unit\">circle</span></td></tr><tr><td>360 <span class=\"unit\">gon</span></td><td>0<span>.9</span> <span class=\"unit\">circle</span></td></tr><tr><td>1000 <span class=\"unit\">gon</span></td><td>2<span>.5</span> <span class=\"unit\">circle</span></td></tr></table>",
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[
"degrees",
"Degrees",
"°"
],
[
"radians",
"Radians",
"rad"
],
[
"gradians",
"Gradians",
"gon"
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[
"minutes",
"Minutes",
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[
"seconds",
"Seconds",
"\""
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[
"turns",
"Turns",
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[
"circles",
"Circles",
"circle"
],
[
"binary_degrees",
"Binary Degrees",
"°"
],
[
"compass_points",
"Compass Points",
"compass point"
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[
"diameter_part",
"Diameter Parts",
"diameter part"
],
[
"hexacontades",
"Hexa-Contades",
"hexacontade"
],
[
"hour_angles",
"Hour Angles",
"hour angle"
],
[
"right_angles",
"Right Angles",
"right angle"
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[
"milliradians",
"Milli-radians",
"mrad"
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[
"quadrants",
"Quadrants",
"quadrant"
],
[
"sextants",
"Sextants",
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[
"pi_radians",
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"Ï€ radians"
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[
"zam",
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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": "Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles."
}
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