# Convert Revolutions to Radians

Enter your revolution value in the form below to get the value calculated in radians.

**Results in Radians:**

## How to Convert Revolutions to Radians

Convert revolutions to radians with this simple formula:

Converting a revolution angle measurement to a radian measurement involves multiplying the angle by the conversion ratio to find the result. One revolution is equal to 6.283185 radians, so to convert simply multiply by 6.283185.

**For example:**

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

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.

## Revolution Measurements and Equivalent Radian Conversions

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

1 r | 6.2832 rad |

2 r | 12.57 rad |

3 r | 18.85 rad |

4 r | 25.13 rad |

5 r | 31.42 rad |

6 r | 37.7 rad |

7 r | 43.98 rad |

8 r | 50.27 rad |

9 r | 56.55 rad |

10 r | 62.83 rad |

11 r | 69.12 rad |

12 r | 75.4 rad |

13 r | 81.68 rad |

14 r | 87.96 rad |

15 r | 94.25 rad |

16 r | 100.53 rad |

17 r | 106.81 rad |

18 r | 113.1 rad |

19 r | 119.38 rad |

20 r | 125.66 rad |

21 r | 131.95 rad |

22 r | 138.23 rad |

23 r | 144.51 rad |

24 r | 150.8 rad |

25 r | 157.08 rad |

26 r | 163.36 rad |

27 r | 169.65 rad |

28 r | 175.93 rad |

29 r | 182.21 rad |

30 r | 188.5 rad |

31 r | 194.78 rad |

32 r | 201.06 rad |

33 r | 207.35 rad |

34 r | 213.63 rad |

35 r | 219.91 rad |

36 r | 226.19 rad |

37 r | 232.48 rad |

38 r | 238.76 rad |

39 r | 245.04 rad |

40 r | 251.33 rad |

## More Revolution Angle Conversions

- Convert to Milliradians
- 1 r is equal to 6,283.19 milliradians
- Convert to Degrees
- 1 r is equal to 360 degrees
- Convert to Gradians
- 1 r is equal to 400 gradians
- Convert to Circles
- 1 r is equal to 1 circles
- Convert to Mils (NATO)
- 1 r is equal to 6,400 mils (NATO)