# Convert Degrees to Circles

Enter the angle in degrees below to get the value converted to circles.

**Results in Circles:**

## How to Convert Degrees to Circles

To convert a degree measurement to a circle measurement, divide the angle by the conversion ratio. One circle is equal to 360 degrees, so use this simple formula to convert:

The angle in circles is equal to the degrees divided by 360.

**For example,**here's how to convert 500 degrees to circles using the formula above.

Degrees and circles are both units used to measure angle. Keep reading to learn more about each unit of measure.

## Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle.^{[1]} The number 360 has 24 divisors, making it a fairly easy number to work with.
There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as *°*, and are also sometimes abbreviated as *deg*. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

## Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as *cir*, for example 1 circle can be written as 1 cir.

## Degree to Circle Conversion Table

Degrees | Circles |
---|---|

1° | 0.002778 cir |

2° | 0.005556 cir |

3° | 0.008333 cir |

4° | 0.011111 cir |

5° | 0.013889 cir |

6° | 0.016667 cir |

7° | 0.019444 cir |

8° | 0.022222 cir |

9° | 0.025 cir |

10° | 0.027778 cir |

20° | 0.055556 cir |

30° | 0.083333 cir |

40° | 0.111111 cir |

50° | 0.138889 cir |

60° | 0.166667 cir |

70° | 0.194444 cir |

80° | 0.222222 cir |

90° | 0.25 cir |

100° | 0.277778 cir |

200° | 0.555556 cir |

300° | 0.833333 cir |

400° | 1.1111 cir |

500° | 1.3889 cir |

600° | 1.6667 cir |

700° | 1.9444 cir |

800° | 2.2222 cir |

900° | 2.5 cir |

1,000° | 2.7778 cir |

## References

- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree