Circles To Degrees Conversion


1 circle = 360 °

Want to convert from degrees to circles instead?

Disclaimer: We've spent hundreds of hours building and testing our calculators and conversion tools. However, we cannot be held liable for any damages or losses (monetary or otherwise) arising out of or in connection with their use. Full disclaimer.

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.

1 circle in arcminutes21600 arcmin