Circles To Degrees Conversion

circle

1 circle = 360 °

Want to convert from degrees to circles instead?

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How to convert circles to degrees (circle to °)

The formula for converting circles to degrees is: ° = circle × 360. To calculate the circle value in degrees first substitute the circle value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 circle in degrees we follow these steps:

° = circle × 360

° = 1 × 360

° = 360

In other words, 1 circle is equal to 360 degrees.


Example Conversion

Let's take a look at an example. The step-by-step process to convert 4 circles to degrees is:

  1. Understand the conversion formula: ° = circle × 360
  2. Substitute the required value. In this case we substitute 4 for circle so the formula becomes: ° = 4 × 360
  3. Calculate the result using the provided values. In our example the result is: 4 × 360 = 1440 °

In summary, 4 circles is equal to 1440 degrees.


Converting degrees to circles

In order to convert the other way around i.e. degrees to circles, you would use the following formula: circle = ° × 0.00277777777777778. To convert degrees to circles first substitute the degree value into the above formula, and then execute the calculation. If we wanted to calculate 1 degree in circles we follow these steps:

circle = ° × 0.00277777777777778

circle = 1 × 0.00277777777777778

circle = 0.00277777777777778

Or in other words, 1 degree is equal to 0.00277777777777778 circles.


Conversion Unit Definitions

What is a Circle?

A circle is not typically used as a unit of measure in the same way that units such as meters or seconds are used. However, there are some situations where the concept of a circle may be used as a unit of measure.
For example, when measuring angles, a circle is often divided into 360 degrees, with each degree being a unit of measure for the angle. Alternatively, a circle can be divided into radians, with each radian being a unit of measure for the angle.
In geometry, the area of a circle can be used as a unit of measure for the size of a two-dimensional object. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

What is a Degree?

A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.
To better understand this definition, it's important to note that a circle has 360 degrees. Therefore, an angle that spans one quarter of a circle (i.e., 90 degrees) is a right angle, while an angle that spans half a circle (i.e., 180 degrees) is a straight angle.
When measuring angles, degrees are usually denoted using the degree symbol (°), which is placed after the numerical value of the angle. For example, an angle of 45 degrees would be written as 45°.

Circles To Degrees Conversion Table

Below is a lookup table showing common circles to degrees conversion values.

CircleDegree (°)
1 circle360 °
2 circle720 °
3 circle1080 °
4 circle1440 °
5 circle1800 °
6 circle2160 °
7 circle2520 °
8 circle2880 °
9 circle3240 °
10 circle3600 °
11 circle3960 °
12 circle4320 °
13 circle4680 °

Other Common Circle Conversions

Below is a table of common conversions from circles to other angle units.

ConversionResult
1 circle in arcminutes21600 arcmin