Follow these steps to convert given angle from the units of Circles to the units of Gradians.
Enter the input Circles value in the text field.
The calculator converts the given Circles into Gradians in realtime ⌚ using the conversion formula, and displays under the Gradians label. You do not need to click any button. If the input changes, Gradians value is re-calculated, just like that.
You may copy the resulting Gradians 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 Circles to Gradians?
The formula to convert given angle from Circles to Gradians is:
Angle(Gradians) = Angle(Circles) × 400
Substitute the given value of angle in circles, i.e., Angle(Circles) in the above formula and simplify the right-hand side value. The resulting value is the angle in gradians, i.e., Angle(Gradians).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a Ferris wheel rotates through 0.5 circles during one ride. Convert this rotation from circles to Gradians.
Answer:
Given:
The angle in circles is:
Angle(Circles) = 0.5
Formula:
The formula to convert angle from circles to gradians is:
Angle(Gradians) = Angle(Circles) × 400
Substitution:
Substitute given weight Angle(Circles) = 0.5 in the above formula.
Angle(Gradians) = 0.5 × 400
Angle(Gradians) = 200
Final Answer:
Therefore, 0.5 circle is equal to 200 gon.
The angle is 200 gon, in gradians.
2
Consider that a drone completes 3 circles in the air during a maneuver. Convert this rotation from circles to Gradians.
Answer:
Given:
The angle in circles is:
Angle(Circles) = 3
Formula:
The formula to convert angle from circles to gradians is:
Angle(Gradians) = Angle(Circles) × 400
Substitution:
Substitute given weight Angle(Circles) = 3 in the above formula.
Angle(Gradians) = 3 × 400
Angle(Gradians) = 1200
Final Answer:
Therefore, 3 circle is equal to 1200 gon.
The angle is 1200 gon, in gradians.
Circles to Gradians Conversion Table
The following table gives some of the most used conversions from Circles to Gradians.
Circles (circle)
Gradians (gon)
0 circle
0 gon
1 circle
400 gon
10 circle
4000 gon
45 circle
18000 gon
90 circle
36000 gon
180 circle
72000 gon
360 circle
144000 gon
1000 circle
400000 gon
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Circles to Gradians in Angle?
The formula to convert Circles to Gradians in Angle is:
Circles * 400
2. Is this tool free or paid?
This Angle conversion tool, which converts Circles to Gradians, is completely free to use.
3. How do I convert Angle from Circles to Gradians?
To convert Angle from Circles to Gradians, you can use the following formula:
Circles * 400
For example, if you have a value in Circles, you substitute that value in place of Circles in the above formula, and solve the mathematical expression to get the equivalent value in Gradians.
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"y_desc": "Gradians",
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"symbol": "m",
"formula": "x * 400",
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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 Ferris wheel rotates through 0.5 circles during one ride.<br>Convert this rotation from circles to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in circles is:</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.5</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from circles to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Circles)</sub> = 0.5</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>0.5</span> × 400</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 200</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 circle</strong> is equal to <strong>200 gon</strong>.</p>\n <p>The angle is <strong>200 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 drone completes 3 circles in the air during a maneuver.<br>Convert this rotation from circles to Gradians.</h3></div>\n <h4 class=\"answer\">Answer:</h4>\n <p><strong>Given:</strong></p>\n <p>The angle in circles is:</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 3</p>\n <p><strong>Formula:</strong></p>\n <p>The formula to convert angle from circles to gradians is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Gradians)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 400</p>\n <p><strong>Substitution:</strong></p>\n <p>Substitute given weight <strong>Angle<sub>(Circles)</sub> = 3</strong> in the above formula.</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = <span>3</span> × 400</p>\n <p class=\"step\"><span>Angle<sub>(Gradians)</sub></span> = 1200</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>3 circle</strong> is equal to <strong>1200 gon</strong>.</p>\n <p>The angle is <strong>1200 gon</strong>, in gradians.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Circles</span> to <span class=\"y\">Gradians</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Circles to Gradians.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Circles (<span class=\"unit\">circle</span>)</th><th scope=\"column\" role=\"columnheader\">Gradians (<span class=\"unit\">gon</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">circle</span></td><td>0 <span class=\"unit\">gon</span></td></tr><tr><td>1 <span class=\"unit\">circle</span></td><td>400 <span class=\"unit\">gon</span></td></tr><tr><td>10 <span class=\"unit\">circle</span></td><td>4000 <span class=\"unit\">gon</span></td></tr><tr><td>45 <span class=\"unit\">circle</span></td><td>18000 <span class=\"unit\">gon</span></td></tr><tr><td>90 <span class=\"unit\">circle</span></td><td>36000 <span class=\"unit\">gon</span></td></tr><tr><td>180 <span class=\"unit\">circle</span></td><td>72000 <span class=\"unit\">gon</span></td></tr><tr><td>360 <span class=\"unit\">circle</span></td><td>144000 <span class=\"unit\">gon</span></td></tr><tr><td>1000 <span class=\"unit\">circle</span></td><td>400000 <span class=\"unit\">gon</span></td></tr></table>",
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