Follow these steps to convert given angle from the units of Degrees to the units of Circles.
Enter the input Degrees value in the text field.
The calculator converts the given Degrees 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 Degrees to Circles?
The formula to convert given angle from Degrees to Circles is:
Angle(Circles) = Angle(Degrees) / 360
Substitute the given value of angle in degrees, i.e., Angle(Degrees) 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 solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure. Convert this angle from degrees to Circles.
Answer:
Given:
The angle of solar panel in degrees is:
Angle(Degrees) = 45
Formula:
The formula to convert angle from degrees to circles is:
Angle(Circles) = Angle(Degrees) / 360
Substitution:
Substitute given weight of solar panel, Angle(Degrees) = 45 in the above formula.
Angle(Circles) = 45 / 360
Angle(Circles) = 0.125
Final Answer:
Therefore, 45 ° is equal to 0.125 circle.
The angle of solar panel is 0.125 circle, in circles.
2
Consider that a camera tripod allows for a 30-degree adjustment to capture the perfect shot. Convert this angle from degrees to Circles.
Answer:
Given:
The angle of camera tripod in degrees is:
Angle(Degrees) = 30
Formula:
The formula to convert angle from degrees to circles is:
Angle(Circles) = Angle(Degrees) / 360
Substitution:
Substitute given weight of camera tripod, Angle(Degrees) = 30 in the above formula.
Angle(Circles) = 30 / 360
Angle(Circles) = 0.08333333333
Final Answer:
Therefore, 30 ° is equal to 0.08333333333 circle.
The angle of camera tripod is 0.08333333333 circle, in circles.
Degrees to Circles Conversion Table
The following table gives some of the most used conversions from Degrees to Circles.
Degrees (°)
Circles (circle)
0 °
0 circle
1 °
0.00277777778circle
10 °
0.02777777778circle
45 °
0.125circle
90 °
0.25circle
180 °
0.5circle
360 °
1 circle
1000 °
2.7778circle
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.
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 Degrees to Circles in Angle?
The formula to convert Degrees to Circles in Angle is:
Degrees / 360
2. Is this tool free or paid?
This Angle conversion tool, which converts Degrees to Circles, is completely free to use.
3. How do I convert Angle from Degrees to Circles?
To convert Angle from Degrees to Circles, you can use the following formula:
Degrees / 360
For example, if you have a value in Degrees, you substitute that value in place of Degrees in the above formula, and solve the mathematical expression to get the equivalent value in Circles.
{
"conversion": "degrees-circles",
"x_slug": "degrees",
"y_slug": "circles",
"x": "°",
"y": "circle",
"x_desc": "Degrees",
"y_desc": "Circles",
"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 solar panel is tilted at an angle of 45 degrees for optimal sunlight exposure.<br>Convert this angle from degrees to Circles.</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 circles is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Circles)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> / 360</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>(Circles)</sub></span> = <span>45</span> / 360</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.125</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>45 °</strong> is equal to <strong>0.125 circle</strong>.</p>\n <p>The angle of solar panel is <strong>0.125 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 camera tripod allows for a 30-degree adjustment to capture the perfect shot.<br>Convert this angle from degrees to Circles.</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 circles is:</p>\n <p class=\"formula step\"><span>Angle<sub>(Circles)</sub></span> = <span>Angle<sub>(Degrees)</sub></span> / 360</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>(Circles)</sub></span> = <span>30</span> / 360</p>\n <p class=\"step\"><span>Angle<sub>(Circles)</sub></span> = 0.08333333333</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>30 °</strong> is equal to <strong>0.08333333333 circle</strong>.</p>\n <p>The angle of camera tripod is <strong>0.08333333333 circle</strong>, in circles.</p>\n </div>\n ",
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"table1n": "<h2><span class=\"x\">Degrees</span> to <span class=\"y\">Circles</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Degrees to Circles.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Degrees (<span class=\"unit\">°</span>)</th><th scope=\"column\" role=\"columnheader\">Circles (<span class=\"unit\">circle</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">°</span></td><td>0 <span class=\"unit\">circle</span></td></tr><tr><td>1 <span class=\"unit\">°</span></td><td>0<span>.00277777778</span> <span class=\"unit\">circle</span></td></tr><tr><td>10 <span class=\"unit\">°</span></td><td>0<span>.02777777778</span> <span class=\"unit\">circle</span></td></tr><tr><td>45 <span class=\"unit\">°</span></td><td>0<span>.125</span> <span class=\"unit\">circle</span></td></tr><tr><td>90 <span class=\"unit\">°</span></td><td>0<span>.25</span> <span class=\"unit\">circle</span></td></tr><tr><td>180 <span class=\"unit\">°</span></td><td>0<span>.5</span> <span class=\"unit\">circle</span></td></tr><tr><td>360 <span class=\"unit\">°</span></td><td>1 <span class=\"unit\">circle</span></td></tr><tr><td>1000 <span class=\"unit\">°</span></td><td>2<span>.7778</span> <span class=\"unit\">circle</span></td></tr></table>",
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