# Milliradians to Radians Conversion

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

**Results in Radians:**

## How to Convert Milliradians to Radians

To convert a milliradian measurement to a radian measurement, divide the angle by the conversion ratio. One radian is equal to 1,000 milliradians, so use this simple formula to convert:

The angle in radians is equal to the milliradians divided by 1,000.

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

Milliradians and radians 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.

## Radians

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc.^{[1]} 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as *rad*, and are also sometimes abbreviated as * ^{c}*,

*r*, or

*. For example, 1 radian can be written as 1 rad, 1*

^{R}^{c}, 1 r, or 1

^{R}.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

## Milliradian to Radian Conversion Table

Milliradians | Radians |
---|---|

1 mrad | 0.001 rad |

2 mrad | 0.002 rad |

3 mrad | 0.003 rad |

4 mrad | 0.004 rad |

5 mrad | 0.005 rad |

6 mrad | 0.006 rad |

7 mrad | 0.007 rad |

8 mrad | 0.008 rad |

9 mrad | 0.009 rad |

10 mrad | 0.01 rad |

20 mrad | 0.02 rad |

30 mrad | 0.03 rad |

40 mrad | 0.04 rad |

50 mrad | 0.05 rad |

60 mrad | 0.06 rad |

70 mrad | 0.07 rad |

80 mrad | 0.08 rad |

90 mrad | 0.09 rad |

100 mrad | 0.1 rad |

200 mrad | 0.2 rad |

300 mrad | 0.3 rad |

400 mrad | 0.4 rad |

500 mrad | 0.5 rad |

600 mrad | 0.6 rad |

700 mrad | 0.7 rad |

800 mrad | 0.8 rad |

900 mrad | 0.9 rad |

1,000 mrad | 1 rad |

## References

- International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9.pdf