# Radians to Milliradians Converter

Enter the angle in radians below to get the value converted to milliradians. The calculator supports values containing decimals, fractions, and π: (π/2, 1/2π, etc)

**Results in Milliradians:**

Do you want to convert milliradians to radians?

## How to Convert Radians to Milliradians

To convert a measurement in radians to a measurement in milliradians, multiply 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:

milliradians = radians × 1,000

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

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

### How Many Milliradians Are in a Radian?

There are **1,000** milliradians in a radian, which is why we use this value in the formula above.

1 rad = 1,000 mrad

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

## 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.

## 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.

## Radian to Milliradian Conversion Table

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

0.001 rad | 1 mrad |

0.002 rad | 2 mrad |

0.003 rad | 3 mrad |

0.004 rad | 4 mrad |

0.005 rad | 5 mrad |

0.006 rad | 6 mrad |

0.007 rad | 7 mrad |

0.008 rad | 8 mrad |

0.009 rad | 9 mrad |

0.01 rad | 10 mrad |

0.02 rad | 20 mrad |

0.03 rad | 30 mrad |

0.04 rad | 40 mrad |

0.05 rad | 50 mrad |

0.06 rad | 60 mrad |

0.07 rad | 70 mrad |

0.08 rad | 80 mrad |

0.09 rad | 90 mrad |

0.1 rad | 100 mrad |

0.2 rad | 200 mrad |

0.3 rad | 300 mrad |

0.4 rad | 400 mrad |

0.5 rad | 500 mrad |

0.6 rad | 600 mrad |

0.7 rad | 700 mrad |

0.8 rad | 800 mrad |

0.9 rad | 900 mrad |

1 rad | 1,000 mrad |

## 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 Radian & Milliradian Conversions

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