# 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. 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.

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.

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 exmaple, 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.

## Revolutions

A revolution 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 or cycle. Revolutions can be abbreviated as *r*, for example 1 revolution can be written as 1 r.

## Degree Measurements and Equivalent Revolution Conversions

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 |

11° | 0.030556 r |

12° | 0.033333 r |

13° | 0.036111 r |

14° | 0.038889 r |

15° | 0.041667 r |

16° | 0.044444 r |

17° | 0.047222 r |

18° | 0.05 r |

19° | 0.052778 r |

20° | 0.055556 r |

21° | 0.058333 r |

22° | 0.061111 r |

23° | 0.063889 r |

24° | 0.066667 r |

25° | 0.069444 r |

26° | 0.072222 r |

27° | 0.075 r |

28° | 0.077778 r |

29° | 0.080556 r |

30° | 0.083333 r |

31° | 0.086111 r |

32° | 0.088889 r |

33° | 0.091667 r |

34° | 0.094444 r |

35° | 0.097222 r |

36° | 0.1 r |

37° | 0.102778 r |

38° | 0.105556 r |

39° | 0.108333 r |

40° | 0.111111 r |

## More Degree Angle Conversions

- Convert to Radians
- 1° is equal to 0.017453 radians
- Convert to Milliradians
- 1° is equal to 17.453293 milliradians
- Convert to Minutes Of Arc
- 1° is equal to 60 minutes of arc
- Convert to Seconds Of Arc
- 1° is equal to 3,600 seconds of arc
- Convert to Gradians
- 1° is equal to 1.111111 gradians
- Convert to Circles
- 1° is equal to 0.002778 circles
- Convert to Mils (NATO)
- 1° is equal to 17.777778 mils (NATO)