# Convert Radians to Revolutions

Enter your radian value in the form below to get the value calculated in revolutions.

**Results in Revolutions:**

## How to Convert Radians to Revolutions Using an Easy Conversion Formula

Convert radians to revolutions with this simple formula:

Converting a radian angle measurement to a revolution measurement involves multiplying your angle by the conversion ratio to find the result. A radian is equal to 0.159155 revolutions, so to convert simply multiply by 0.159155.

**For example:**

Radians and revolutions are both units used to measure angle.
Learn more about angle and
find more angle measurement conversion calculators.
A radian is an angle measurement and can be abbreviated as * rad*, for example 1 rad.
A revolution is an angle measurement and can be abbreviated as * r*, for example 1 r.

A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.

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.

## Radian Measurements and Equivalent Revolution Conversions

Radians | Revolutions |
---|---|

1 rad | 0.159155 r |

2 rad | 0.31831 r |

3 rad | 0.477465 r |

4 rad | 0.63662 r |

5 rad | 0.795775 r |

6 rad | 0.95493 r |

7 rad | 1.1141 r |

8 rad | 1.2732 r |

9 rad | 1.4324 r |

10 rad | 1.5915 r |

11 rad | 1.7507 r |

12 rad | 1.9099 r |

13 rad | 2.069 r |

14 rad | 2.2282 r |

15 rad | 2.3873 r |

16 rad | 2.5465 r |

17 rad | 2.7056 r |

18 rad | 2.8648 r |

19 rad | 3.0239 r |

20 rad | 3.1831 r |

21 rad | 3.3423 r |

22 rad | 3.5014 r |

23 rad | 3.6606 r |

24 rad | 3.8197 r |

25 rad | 3.9789 r |

26 rad | 4.138 r |

27 rad | 4.2972 r |

28 rad | 4.4563 r |

29 rad | 4.6155 r |

30 rad | 4.7746 r |

31 rad | 4.9338 r |

32 rad | 5.093 r |

33 rad | 5.2521 r |

34 rad | 5.4113 r |

35 rad | 5.5704 r |

36 rad | 5.7296 r |

37 rad | 5.8887 r |

38 rad | 6.0479 r |

39 rad | 6.207 r |

40 rad | 6.3662 r |

## More Angle Conversions

- Convert to Degrees Angle
- 1 rad is equal to 57.29578 degrees
- Convert to Grad Angle
- 1 rad is equal to 63.661977 grad
- Convert to Circles Angle
- 1 rad is equal to 0.159155 circles
- Convert to Mils Angle
- 1 rad is equal to 1,018.59 mils