Mils (NATO) to Gradians Converter

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

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Result in Gradians:

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1 mil = 0.0625g

Do you want to convert gradians to mils?


How to Convert Mils to Gradians

To convert a measurement in mils to a measurement in gradians, divide the angle by the following conversion ratio: 16 mils/gradian.

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

gradians = mils ÷ 16

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

For example, here's how to convert 5 mils to gradians using the formula above.
gradians = (5 mil ÷ 16) = 0.3125g

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

What Is a Mil?

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 can be abbreviated as mil; for example, 1 mil can be written as 1 mil.

Learn more about mils.

What Is a Gradian?

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.

Right angles in gradians
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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 1g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

Learn more about gradians.

Mil to Gradian Conversion Table

Table showing various mil measurements converted to gradians.
Mils (NATO) Gradians
1 mil 0.0625g
2 mil 0.125g
3 mil 0.1875g
4 mil 0.25g
5 mil 0.3125g
6 mil 0.375g
7 mil 0.4375g
8 mil 0.5g
9 mil 0.5625g
10 mil 0.625g
11 mil 0.6875g
12 mil 0.75g
13 mil 0.8125g
14 mil 0.875g
15 mil 0.9375g
16 mil 1g
17 mil 1.0625g
18 mil 1.125g
19 mil 1.1875g
20 mil 1.25g
21 mil 1.3125g
22 mil 1.375g
23 mil 1.4375g
24 mil 1.5g
25 mil 1.5625g
26 mil 1.625g
27 mil 1.6875g
28 mil 1.75g
29 mil 1.8125g
30 mil 1.875g
31 mil 1.9375g
32 mil 2g
33 mil 2.0625g
34 mil 2.125g
35 mil 2.1875g
36 mil 2.25g
37 mil 2.3125g
38 mil 2.375g
39 mil 2.4375g
40 mil 2.5g

References

  1. 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

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