# Revolutions Conversion

The revolution is a unit used to measure angle. Use one of the conversion calculators below to convert to another unit of measure, or read on to learn more about revolutions.

## Revolution Conversion Calculators

Choose a unit of angle to convert to.

- Convert revolutions to radians
- 1 revolution is equal to 6.283185 radians
- Convert revolutions to milliradians
- 1 revolution is equal to 6,283 milliradians
- Convert revolutions to degrees
- 1 revolution is equal to 360 degrees
- Convert revolutions to minutes of arc
- 1 revolution is equal to 21,600 minutes of arc
- Convert revolutions to seconds of arc
- 1 revolution is equal to 1,296,000 seconds of arc
- Convert revolutions to gradians
- 1 revolution is equal to 400 gradians
- Convert revolutions to circles
- 1 revolution is equal to 1 circle
- Convert revolutions to mils (NATO)
- 1 revolution is equal to 6,400 mils (NATO)

## Revolution Definition and Usage

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.

## Revolutions Measurement Conversion Table

revolutions | radians | milliradians | degrees | minutes of arc | seconds of arc | gradians | circles | mils (NATO) |
---|---|---|---|---|---|---|---|---|

1 r | 6.283185 rad | 6,283 mrad | 360° | 21,600' | 1,296,000" | 400^{g} |
1 cir | 6,400 mil |

2 r | 12.566371 rad | 12,566 mrad | 720° | 43,200' | 2,592,000" | 800^{g} |
2 cir | 12,800 mil |

3 r | 18.849556 rad | 18,850 mrad | 1,080° | 64,800' | 3,888,000" | 1,200^{g} |
3 cir | 19,200 mil |

4 r | 25.132741 rad | 25,133 mrad | 1,440° | 86,400' | 5,184,000" | 1,600^{g} |
4 cir | 25,600 mil |

5 r | 31.415927 rad | 31,416 mrad | 1,800° | 108,000' | 6,480,000" | 2,000^{g} |
5 cir | 32,000 mil |

6 r | 37.699112 rad | 37,699 mrad | 2,160° | 129,600' | 7,776,000" | 2,400^{g} |
6 cir | 38,400 mil |

7 r | 43.982297 rad | 43,982 mrad | 2,520° | 151,200' | 9,072,000" | 2,800^{g} |
7 cir | 44,800 mil |

8 r | 50.265482 rad | 50,265 mrad | 2,880° | 172,800' | 10,368,000" | 3,200^{g} |
8 cir | 51,200 mil |

9 r | 56.548668 rad | 56,549 mrad | 3,240° | 194,400' | 11,664,000" | 3,600^{g} |
9 cir | 57,600 mil |

10 r | 62.831853 rad | 62,832 mrad | 3,600° | 216,000' | 12,960,000" | 4,000^{g} |
10 cir | 64,000 mil |

11 r | 69.115038 rad | 69,115 mrad | 3,960° | 237,600' | 14,256,000" | 4,400^{g} |
11 cir | 70,400 mil |

12 r | 75.398224 rad | 75,398 mrad | 4,320° | 259,200' | 15,552,000" | 4,800^{g} |
12 cir | 76,800 mil |

13 r | 81.681409 rad | 81,681 mrad | 4,680° | 280,800' | 16,848,000" | 5,200^{g} |
13 cir | 83,200 mil |

14 r | 87.964594 rad | 87,965 mrad | 5,040° | 302,400' | 18,144,000" | 5,600^{g} |
14 cir | 89,600 mil |

15 r | 94.24778 rad | 94,248 mrad | 5,400° | 324,000' | 19,440,000" | 6,000^{g} |
15 cir | 96,000 mil |

16 r | 100.530965 rad | 100,531 mrad | 5,760° | 345,600' | 20,736,000" | 6,400^{g} |
16 cir | 102,400 mil |

17 r | 106.81415 rad | 106,814 mrad | 6,120° | 367,200' | 22,032,000" | 6,800^{g} |
17 cir | 108,800 mil |

18 r | 113.097336 rad | 113,097 mrad | 6,480° | 388,800' | 23,328,000" | 7,200^{g} |
18 cir | 115,200 mil |

19 r | 119.380521 rad | 119,381 mrad | 6,840° | 410,400' | 24,624,000" | 7,600^{g} |
19 cir | 121,600 mil |

20 r | 125.663706 rad | 125,664 mrad | 7,200° | 432,000' | 25,920,000" | 8,000^{g} |
20 cir | 128,000 mil |