Follow these steps to convert given angle from the units of Circles to the units of Degrees.
Enter the input Circles value in the text field.
The calculator converts the given Circles into Degrees in realtime ⌚ using the conversion formula, and displays under the Degrees label. You do not need to click any button. If the input changes, Degrees value is re-calculated, just like that.
You may copy the resulting Degrees 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 Degrees?
The formula to convert given angle from Circles to Degrees is:
Angle(Degrees) = Angle(Circles) × 360
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 degrees, i.e., Angle(Degrees).
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 Degrees.
Answer:
Given:
The angle in circles is:
Angle(Circles) = 0.5
Formula:
The formula to convert angle from circles to degrees is:
Angle(Degrees) = Angle(Circles) × 360
Substitution:
Substitute given weight Angle(Circles) = 0.5 in the above formula.
Angle(Degrees) = 0.5 × 360
Angle(Degrees) = 180
Final Answer:
Therefore, 0.5 circle is equal to 180 °.
The angle is 180 °, in degrees.
2
Consider that a drone completes 3 circles in the air during a maneuver. Convert this rotation from circles to Degrees.
Answer:
Given:
The angle in circles is:
Angle(Circles) = 3
Formula:
The formula to convert angle from circles to degrees is:
Angle(Degrees) = Angle(Circles) × 360
Substitution:
Substitute given weight Angle(Circles) = 3 in the above formula.
Angle(Degrees) = 3 × 360
Angle(Degrees) = 1080
Final Answer:
Therefore, 3 circle is equal to 1080 °.
The angle is 1080 °, in degrees.
Circles to Degrees Conversion Table
The following table gives some of the most used conversions from Circles to Degrees.
Circles (circle)
Degrees (°)
0 circle
0 °
1 circle
360 °
10 circle
3600 °
45 circle
16200 °
90 circle
32400 °
180 circle
64800 °
360 circle
129600 °
1000 circle
360000 °
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Circles to Degrees in Angle?
The formula to convert Circles to Degrees in Angle is:
Circles * 360
2. Is this tool free or paid?
This Angle conversion tool, which converts Circles to Degrees, is completely free to use.
3. How do I convert Angle from Circles to Degrees?
To convert Angle from Circles to Degrees, you can use the following formula:
Circles * 360
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 Degrees.
{
"conversion": "circles-degrees",
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"y_slug": "degrees",
"x": "circle",
"y": "°",
"x_desc": "Circles",
"y_desc": "Degrees",
"category": "Angle",
"symbol": "m",
"formula": "x * 360",
"precision": 11,
"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 Degrees.</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 degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 360</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>(Degrees)</sub></span> = <span>0.5</span> × 360</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 180</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>0.5 circle</strong> is equal to <strong>180 °</strong>.</p>\n <p>The angle is <strong>180 °</strong>, in degrees.</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 Degrees.</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 degrees is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Degrees)</sub></span> = <span>Angle<sub>(Circles)</sub></span> × 360</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>(Degrees)</sub></span> = <span>3</span> × 360</p>\n <p class=\"step\"><span>Angle<sub>(Degrees)</sub></span> = 1080</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>3 circle</strong> is equal to <strong>1080 °</strong>.</p>\n <p>The angle is <strong>1080 °</strong>, in degrees.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Circles</span> to <span class=\"y\">Degrees</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Circles to Degrees.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Circles (<span class=\"unit\">circle</span>)</th><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">circle</span></td><td>0 <span class=\"unit\">°</span></td></tr><tr><td>1 <span class=\"unit\">circle</span></td><td>360 <span class=\"unit\">°</span></td></tr><tr><td>10 <span class=\"unit\">circle</span></td><td>3600 <span class=\"unit\">°</span></td></tr><tr><td>45 <span class=\"unit\">circle</span></td><td>16200 <span class=\"unit\">°</span></td></tr><tr><td>90 <span class=\"unit\">circle</span></td><td>32400 <span class=\"unit\">°</span></td></tr><tr><td>180 <span class=\"unit\">circle</span></td><td>64800 <span class=\"unit\">°</span></td></tr><tr><td>360 <span class=\"unit\">circle</span></td><td>129600 <span class=\"unit\">°</span></td></tr><tr><td>1000 <span class=\"unit\">circle</span></td><td>360000 <span class=\"unit\">°</span></td></tr></table>",
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[
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"y_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.",
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ConvertOnline