# Revolutions to Degrees Conversion

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

**Results in Degrees:**

1 r = 360° 0′ 0″

## How to Convert Revolutions to Degrees

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

The angle in degrees is equal to the revolutions multiplied by 360.

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

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

## 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.

## 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.

## Revolution to Degree Conversion Table

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

1 r | 360° |

2 r | 720° |

3 r | 1,080° |

4 r | 1,440° |

5 r | 1,800° |

6 r | 2,160° |

7 r | 2,520° |

8 r | 2,880° |

9 r | 3,240° |

10 r | 3,600° |

11 r | 3,960° |

12 r | 4,320° |

13 r | 4,680° |

14 r | 5,040° |

15 r | 5,400° |

16 r | 5,760° |

17 r | 6,120° |

18 r | 6,480° |

19 r | 6,840° |

20 r | 7,200° |

21 r | 7,560° |

22 r | 7,920° |

23 r | 8,280° |

24 r | 8,640° |

25 r | 9,000° |

26 r | 9,360° |

27 r | 9,720° |

28 r | 10,080° |

29 r | 10,440° |

30 r | 10,800° |

31 r | 11,160° |

32 r | 11,520° |

33 r | 11,880° |

34 r | 12,240° |

35 r | 12,600° |

36 r | 12,960° |

37 r | 13,320° |

38 r | 13,680° |

39 r | 14,040° |

40 r | 14,400° |

## References

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