# Gradians to Milliradians Conversion

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

**Results in Milliradians:**

^{g}= 15.707963 mrad

## How to Convert Gradians to Milliradians

To convert a gradian measurement to a milliradian measurement, multiply the angle by the conversion ratio. One gradian is equal to 15.707963 milliradians, so use this simple formula to convert:

The angle in milliradians is equal to the gradians multiplied by 15.707963.

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

^{g}= (5 × 15.707963) = 78.539816 mrad

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

## 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.

## 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.

## Gradian to Milliradian Conversion Table

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

1^{g} |
15.71 mrad |

2^{g} |
31.42 mrad |

3^{g} |
47.12 mrad |

4^{g} |
62.83 mrad |

5^{g} |
78.54 mrad |

6^{g} |
94.25 mrad |

7^{g} |
109.96 mrad |

8^{g} |
125.66 mrad |

9^{g} |
141.37 mrad |

10^{g} |
157.08 mrad |

11^{g} |
172.79 mrad |

12^{g} |
188.5 mrad |

13^{g} |
204.2 mrad |

14^{g} |
219.91 mrad |

15^{g} |
235.62 mrad |

16^{g} |
251.33 mrad |

17^{g} |
267.04 mrad |

18^{g} |
282.74 mrad |

19^{g} |
298.45 mrad |

20^{g} |
314.16 mrad |

21^{g} |
329.87 mrad |

22^{g} |
345.58 mrad |

23^{g} |
361.28 mrad |

24^{g} |
376.99 mrad |

25^{g} |
392.7 mrad |

26^{g} |
408.41 mrad |

27^{g} |
424.12 mrad |

28^{g} |
439.82 mrad |

29^{g} |
455.53 mrad |

30^{g} |
471.24 mrad |

31^{g} |
486.95 mrad |

32^{g} |
502.65 mrad |

33^{g} |
518.36 mrad |

34^{g} |
534.07 mrad |

35^{g} |
549.78 mrad |

36^{g} |
565.49 mrad |

37^{g} |
581.19 mrad |

38^{g} |
596.9 mrad |

39^{g} |
612.61 mrad |

40^{g} |
628.32 mrad |

## 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