# Convert Degrees to Revolutions

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

**Results in Revolutions:**

## How to Convert Degrees to Revolutions

To convert a degree measurement to a revolution measurement, multiply the angle by the conversion ratio. One degree is equal to 0.002778 revolutions, so use this simple formula to convert:

The angle in revolutions is equal to the degrees multiplied by 0.002778.

**For example,**here's how to convert 5 degrees to revolutions using the formula above.

Degrees and revolutions 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.

## Revolutions

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as *r*, and are also sometimes abbreviated as *rev* or *cyc*. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

## Degree to Revolution Conversion Table

Degrees | Revolutions |
---|---|

1° | 0.002778 r |

2° | 0.005556 r |

3° | 0.008333 r |

4° | 0.011111 r |

5° | 0.013889 r |

6° | 0.016667 r |

7° | 0.019444 r |

8° | 0.022222 r |

9° | 0.025 r |

10° | 0.027778 r |

20° | 0.055556 r |

30° | 0.083333 r |

40° | 0.111111 r |

50° | 0.138889 r |

60° | 0.166667 r |

70° | 0.194444 r |

80° | 0.222222 r |

90° | 0.25 r |

100° | 0.277778 r |

200° | 0.555556 r |

300° | 0.833333 r |

400° | 1.1111 r |

500° | 1.3889 r |

600° | 1.6667 r |

700° | 1.9444 r |

800° | 2.2222 r |

900° | 2.5 r |

1,000° | 2.7778 r |

## References

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