Follow these steps to convert given angle from the units of Gradians to the units of Circles.
Enter the input Gradians value in the text field.
The calculator converts the given Gradians into Circles in realtime ⌚ using the conversion formula, and displays under the Circles label. You do not need to click any button. If the input changes, Circles value is re-calculated, just like that.
You may copy the resulting Circles value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Gradians to Circles?
The formula to convert given angle from Gradians to Circles is:
Angle(Circles) = Angle(Gradians) / 400
Substitute the given value of angle in gradians, i.e., Angle(Gradians) in the above formula and simplify the right-hand side value. The resulting value is the angle in circles, i.e., Angle(Circles).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a precision engineering tool adjusts by 100 gradians. Convert this angle from gradians to Circles.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 100
Formula:
The formula to convert angle from gradians to circles is:
Angle(Circles) = Angle(Gradians) / 400
Substitution:
Substitute given weight Angle(Gradians) = 100 in the above formula.
Angle(Circles) = 100 / 400
Angle(Circles) = 0.25
Final Answer:
Therefore, 100 gon is equal to 0.25 circle.
The angle is 0.25 circle, in circles.
2
Consider that a civil engineer designs a slope with an angle of 90 gradians. Convert this angle from gradians to Circles.
Answer:
Given:
The angle in gradians is:
Angle(Gradians) = 90
Formula:
The formula to convert angle from gradians to circles is:
Angle(Circles) = Angle(Gradians) / 400
Substitution:
Substitute given weight Angle(Gradians) = 90 in the above formula.
Angle(Circles) = 90 / 400
Angle(Circles) = 0.225
Final Answer:
Therefore, 90 gon is equal to 0.225 circle.
The angle is 0.225 circle, in circles.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Gradians to Circles in Angle?
The formula to convert Gradians to Circles in Angle is:
Gradians / 400
2. Is this tool free or paid?
This Angle conversion tool, which converts Gradians to Circles, is completely free to use.
3. How do I convert Angle from Gradians to Circles?
To convert Angle from Gradians to Circles, you can use the following formula:
Gradians / 400
For example, if you have a value in Gradians, you substitute that value in place of Gradians in the above formula, and solve the mathematical expression to get the equivalent value in Circles.
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"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 ",
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"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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