# Gradians to Mils (NATO) Conversion

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

**Results in Mils (NATO):**

^{g}= 16 mil

## How to Convert Gradians to Mils (NATO)

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

Since one gradian is equal to 16 mils (NATO), you can use this simple formula to convert:

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

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

^{g}= (5 × 16) = 80 mil

### How Many Mils (NATO) Are in a Gradian?

There are **16** mils (NATO) in a gradian, which is why we use this value in the formula above.

1^{g} = 16 mil

Gradians and mils (NATO) 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.

## 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.

## Gradian to Mil Conversion Table

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

1^{g} |
16 mil |

2^{g} |
32 mil |

3^{g} |
48 mil |

4^{g} |
64 mil |

5^{g} |
80 mil |

6^{g} |
96 mil |

7^{g} |
112 mil |

8^{g} |
128 mil |

9^{g} |
144 mil |

10^{g} |
160 mil |

11^{g} |
176 mil |

12^{g} |
192 mil |

13^{g} |
208 mil |

14^{g} |
224 mil |

15^{g} |
240 mil |

16^{g} |
256 mil |

17^{g} |
272 mil |

18^{g} |
288 mil |

19^{g} |
304 mil |

20^{g} |
320 mil |

21^{g} |
336 mil |

22^{g} |
352 mil |

23^{g} |
368 mil |

24^{g} |
384 mil |

25^{g} |
400 mil |

26^{g} |
416 mil |

27^{g} |
432 mil |

28^{g} |
448 mil |

29^{g} |
464 mil |

30^{g} |
480 mil |

31^{g} |
496 mil |

32^{g} |
512 mil |

33^{g} |
528 mil |

34^{g} |
544 mil |

35^{g} |
560 mil |

36^{g} |
576 mil |

37^{g} |
592 mil |

38^{g} |
608 mil |

39^{g} |
624 mil |

40^{g} |
640 mil |

## 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

## More Gradian & Mil Conversions

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