# Milliradians to Gradians Conversion

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

**Results in Gradians:**

^{g}

## How to Convert Milliradians to Gradians

To convert a milliradian measurement to a gradian measurement, multiply the angle by the conversion ratio.

Since one milliradian is equal to 0.063662 gradians, you can use this simple formula to convert:

The angle in gradians is equal to the milliradians multiplied by 0.063662.

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

^{g}

Milliradians and gradians 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.

## Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°.
The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^{-2} radians.^{[1]}

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Gradians | Degrees |
---|---|

0 grad | 0° |

100 grad | 90° |

200 grad | 180° |

300 grad | 270° |

400 grad | 360° |

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as * ^{g}*, and are also sometimes abbreviated as

*gr*or

*grd*. For example, 1 gradian can be written as 1

^{g}, 1 gr, or 1 grd.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Milliradian to Gradian Conversion Table

Milliradians | Gradians |
---|---|

1 mrad | 0.063662^{g} |

2 mrad | 0.127324^{g} |

3 mrad | 0.190986^{g} |

4 mrad | 0.254648^{g} |

5 mrad | 0.31831^{g} |

6 mrad | 0.381972^{g} |

7 mrad | 0.445634^{g} |

8 mrad | 0.509296^{g} |

9 mrad | 0.572958^{g} |

10 mrad | 0.63662^{g} |

11 mrad | 0.700282^{g} |

12 mrad | 0.763944^{g} |

13 mrad | 0.827606^{g} |

14 mrad | 0.891268^{g} |

15 mrad | 0.95493^{g} |

16 mrad | 1.0186^{g} |

17 mrad | 1.0823^{g} |

18 mrad | 1.1459^{g} |

19 mrad | 1.2096^{g} |

20 mrad | 1.2732^{g} |

21 mrad | 1.3369^{g} |

22 mrad | 1.4006^{g} |

23 mrad | 1.4642^{g} |

24 mrad | 1.5279^{g} |

25 mrad | 1.5915^{g} |

26 mrad | 1.6552^{g} |

27 mrad | 1.7189^{g} |

28 mrad | 1.7825^{g} |

29 mrad | 1.8462^{g} |

30 mrad | 1.9099^{g} |

31 mrad | 1.9735^{g} |

32 mrad | 2.0372^{g} |

33 mrad | 2.1008^{g} |

34 mrad | 2.1645^{g} |

35 mrad | 2.2282^{g} |

36 mrad | 2.2918^{g} |

37 mrad | 2.3555^{g} |

38 mrad | 2.4192^{g} |

39 mrad | 2.4828^{g} |

40 mrad | 2.5465^{g} |

## References

- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI),
*National Institute of Standards and Technology*, https://physics.nist.gov/cuu/pdf/sp811.pdf