Convert Mils (NATO) to Radians

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

Results in Radians:
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1 mil = 0.000982 rad

How to Convert Mils (NATO) to Radians

Protractors are often used to measure angle

To convert a mil measurement to a radian measurement, multiply the angle by the conversion ratio. One mil is equal to 0.000982 radians, so use this simple formula to convert:

radians = mils (NATO) × 0.000982

The angle in radians is equal to the mils (NATO) multiplied by 0.000982.

For example, here's how to convert 5 mils (NATO) to radians using the formula above.
5 mil = (5 × 0.000982) = 0.004909 rad

Mils (NATO) and radians 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.


A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For exmaple, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

Mil Measurements and Equivalent Radian Conversions

Common mil values converted to the equivalent radian value
Mils (NATO) Radians
1 mil 0.000982 rad
2 mil 0.001963 rad
3 mil 0.002945 rad
4 mil 0.003927 rad
5 mil 0.004909 rad
6 mil 0.00589 rad
7 mil 0.006872 rad
8 mil 0.007854 rad
9 mil 0.008836 rad
10 mil 0.009817 rad
11 mil 0.010799 rad
12 mil 0.011781 rad
13 mil 0.012763 rad
14 mil 0.013744 rad
15 mil 0.014726 rad
16 mil 0.015708 rad
17 mil 0.01669 rad
18 mil 0.017671 rad
19 mil 0.018653 rad
20 mil 0.019635 rad
21 mil 0.020617 rad
22 mil 0.021598 rad
23 mil 0.02258 rad
24 mil 0.023562 rad
25 mil 0.024544 rad
26 mil 0.025525 rad
27 mil 0.026507 rad
28 mil 0.027489 rad
29 mil 0.028471 rad
30 mil 0.029452 rad
31 mil 0.030434 rad
32 mil 0.031416 rad
33 mil 0.032398 rad
34 mil 0.033379 rad
35 mil 0.034361 rad
36 mil 0.035343 rad
37 mil 0.036325 rad
38 mil 0.037306 rad
39 mil 0.038288 rad
40 mil 0.03927 rad

More Mil Angle Conversions

Convert to Milliradians
1 mil is equal to 0.981748 milliradians
Convert to Degrees
1 mil is equal to 0.05625 degrees
Convert to Minutes Of Arc
1 mil is equal to 3.375 minutes of arc
Convert to Seconds Of Arc
1 mil is equal to 202.5 seconds of arc
Convert to Gradians
1 mil is equal to 0.0625 gradians
Convert to Revolutions
1 mil is equal to 0.000156 revolutions
Convert to Circles
1 mil is equal to 0.000156 circles