# Mils (NATO) to Gradians Conversion

Enter the angle in mils (NATO) below to get the value converted to gradians.

**Results in Gradians:**

^{g}

## How to Convert Mils (NATO) to Gradians

To convert a mil measurement to a gradian measurement, divide the angle by the conversion ratio. One gradian is equal to 16 mils (NATO), so use this simple formula to convert:

The angle in gradians is equal to the mils (NATO) divided by 16.

**For example,**here's how to convert 5 mils (NATO) to gradians using the formula above.

^{g}

Mils (NATO) and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

## Mils (NATO)

A mil, short for milliradian, is equal to 1/6,400 of a circle. The mil used by the US military and NATO forces is slightly different than the true value of a milliradian, which is equal to 1/6,283 of a circle.

During World War I the US adopted what is now the NATO mil to replace degrees and minutes for use in artillery sights. They opted to round mils to 6,400 per circle for simplicity at the time. Today, the mil is commonly used to measure adjustment of sights and scopes of firearms.

There is rightfully much confusion as a result of the mil adopted by the US military and NATO being slightly different than the milliradian.

A mil is sometimes also referred to as an angular mil. Mils (NATO) can be abbreviated as *mil*; for example, 1 mil can be written as 1 mil.

## 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.

## Mil to Gradian Conversion Table

Mils (NATO) | Gradians |
---|---|

1 mil | 0.0625^{g} |

2 mil | 0.125^{g} |

3 mil | 0.1875^{g} |

4 mil | 0.25^{g} |

5 mil | 0.3125^{g} |

6 mil | 0.375^{g} |

7 mil | 0.4375^{g} |

8 mil | 0.5^{g} |

9 mil | 0.5625^{g} |

10 mil | 0.625^{g} |

11 mil | 0.6875^{g} |

12 mil | 0.75^{g} |

13 mil | 0.8125^{g} |

14 mil | 0.875^{g} |

15 mil | 0.9375^{g} |

16 mil | 1^{g} |

17 mil | 1.0625^{g} |

18 mil | 1.125^{g} |

19 mil | 1.1875^{g} |

20 mil | 1.25^{g} |

21 mil | 1.3125^{g} |

22 mil | 1.375^{g} |

23 mil | 1.4375^{g} |

24 mil | 1.5^{g} |

25 mil | 1.5625^{g} |

26 mil | 1.625^{g} |

27 mil | 1.6875^{g} |

28 mil | 1.75^{g} |

29 mil | 1.8125^{g} |

30 mil | 1.875^{g} |

31 mil | 1.9375^{g} |

32 mil | 2^{g} |

33 mil | 2.0625^{g} |

34 mil | 2.125^{g} |

35 mil | 2.1875^{g} |

36 mil | 2.25^{g} |

37 mil | 2.3125^{g} |

38 mil | 2.375^{g} |

39 mil | 2.4375^{g} |

40 mil | 2.5^{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