# Milliradians to Radians Converter

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

## Result in Radians:

Do you want to convert radians to milliradians?

## How to Convert Milliradians to Radians

To convert a measurement in milliradians to a measurement in radians, divide the angle by the following conversion ratio: 1,000 milliradians/radian.

Since one radian is equal to 1,000 milliradians, you can use this simple formula to convert:

radians = milliradians ÷ 1,000

The angle in radians is equal to the angle in 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.

## What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees 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 thousandths, or 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.

Learn more about milliradians.

## What Is a Radian?

A radian is the measurement of angle equal to the length of an arc divided by the radius of the circle or arc.^{[1]} 1 radian is equal to 180/π degrees, 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 an angle in 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.

Radians are also considered to be a "unitless" unit. That is, when multiplying or dividing by radians, the result does not include radians as part of the final units.

For example, when determining the length of an arc for a given angle, we use the formula above, rearranged to be s = θr. If θ is in radians and r is in meters, then the units of s will be meters, not radian-meters. If θ were in degrees, however, then s would have units of degree-meters.

Learn more about radians.

## 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/documents/20126/41483022/SI-Brochure-9-EN.pdf

## More Milliradian & Radian Conversions

- milliradians to degrees
- milliradians to minutes of arc
- milliradians to seconds of arc
- milliradians to gradians
- milliradians to revolutions
- milliradians to circles
- milliradians to mils
- degrees to radians
- minutes of arc to radians
- seconds of arc to radians
- gradians to radians
- revolutions to radians
- circles to radians
- mils to radians