# Milliradians to Revolutions Conversion

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

**Results in Revolutions:**

## How to Convert Milliradians to Revolutions

To convert a milliradian measurement to a revolution measurement, multiply the angle by the conversion ratio. One milliradian is equal to 0.000159 revolutions, so use this simple formula to convert:

The angle in revolutions is equal to the milliradians multiplied by 0.000159.

**For example,**here's how to convert 5,000 milliradians to revolutions using the formula above.

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

## Milliradians

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for 10^{-3}. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as *mrad*; for example, 1 milliradian can be written as 1 mrad.

## 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.

## Milliradian to Revolution Conversion Table

Milliradians | Revolutions |
---|---|

1 mrad | 0.000159 r |

2 mrad | 0.000318 r |

3 mrad | 0.000477 r |

4 mrad | 0.000637 r |

5 mrad | 0.000796 r |

6 mrad | 0.000955 r |

7 mrad | 0.001114 r |

8 mrad | 0.001273 r |

9 mrad | 0.001432 r |

10 mrad | 0.001592 r |

20 mrad | 0.003183 r |

30 mrad | 0.004775 r |

40 mrad | 0.006366 r |

50 mrad | 0.007958 r |

60 mrad | 0.009549 r |

70 mrad | 0.011141 r |

80 mrad | 0.012732 r |

90 mrad | 0.014324 r |

100 mrad | 0.015915 r |

200 mrad | 0.031831 r |

300 mrad | 0.047746 r |

400 mrad | 0.063662 r |

500 mrad | 0.079577 r |

600 mrad | 0.095493 r |

700 mrad | 0.111408 r |

800 mrad | 0.127324 r |

900 mrad | 0.143239 r |

1,000 mrad | 0.159155 r |

2,000 mrad | 0.31831 r |

3,000 mrad | 0.477465 r |

4,000 mrad | 0.63662 r |

5,000 mrad | 0.795775 r |

6,000 mrad | 0.95493 r |

7,000 mrad | 1.1141 r |

8,000 mrad | 1.2732 r |

9,000 mrad | 1.4324 r |

10,000 mrad | 1.5915 r |