# Convert Radians to Revolutions

## Learn How to Convert Radians to Revolutions Using our Conversion 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, 5rad = (5 × 0.159155) = 0.795775r.

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 1rad.
A revolution is an angle measurement and can be abbreviated as *r*, for example 1r.

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.

## More Angle Conversions

- Convert to Degrees Angle
- 1rad is equal to 57.29578 degrees
- Convert to Grad Angle
- 1rad is equal to 63.661977 grad
- Convert to Circles Angle
- 1rad is equal to 0.159155 circles
- Convert to Mils Angle
- 1rad is equal to 1,019 mils

## Radian Measurements and Equivalent Revolution Conversions

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

1 | 0.159155 | 21 | 3.3423 | 41 | 6.5254 |

2 | 0.31831 | 22 | 3.5014 | 42 | 6.6845 |

3 | 0.477465 | 23 | 3.6606 | 43 | 6.8437 |

4 | 0.63662 | 24 | 3.8197 | 44 | 7.0028 |

5 | 0.795775 | 25 | 3.9789 | 45 | 7.162 |

6 | 0.95493 | 26 | 4.138 | 46 | 7.3211 |

7 | 1.1141 | 27 | 4.2972 | 47 | 7.4803 |

8 | 1.2732 | 28 | 4.4563 | 48 | 7.6394 |

9 | 1.4324 | 29 | 4.6155 | 49 | 7.7986 |

10 | 1.5915 | 30 | 4.7746 | 50 | 7.9577 |

11 | 1.7507 | 31 | 4.9338 | 51 | 8.1169 |

12 | 1.9099 | 32 | 5.093 | 52 | 8.2761 |

13 | 2.069 | 33 | 5.2521 | 53 | 8.4352 |

14 | 2.2282 | 34 | 5.4113 | 54 | 8.5944 |

15 | 2.3873 | 35 | 5.5704 | 55 | 8.7535 |

16 | 2.5465 | 36 | 5.7296 | 56 | 8.9127 |

17 | 2.7056 | 37 | 5.8887 | 57 | 9.0718 |

18 | 2.8648 | 38 | 6.0479 | 58 | 9.231 |

19 | 3.0239 | 39 | 6.207 | 59 | 9.3901 |

20 | 3.1831 | 40 | 6.3662 | 60 | 9.5493 |