Convert Milliradians to Mils (NATO)

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

Results in Mils (NATO):
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1 mrad = 1.018592 mil

How to Convert Milliradians to Mils (NATO)

Protractors are often used to measure angle

To convert a milliradian measurement to a mil measurement, multiply the angle by the conversion ratio. One milliradian is equal to 1.018592 mils (NATO), so use this simple formula to convert:

mils (NATO) = milliradians × 1.018592

The angle in mils (NATO) is equal to the milliradians multiplied by 1.018592.

For example, here's how to convert 5 milliradians to mils (NATO) using the formula above.
5 mrad = (5 × 1.018592) = 5.092958 mil

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


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.

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.

Milliradian Measurements and Equivalent Mil Conversions

Common milliradian values converted to the equivalent mil value
Milliradians Mils (NATO)
1 mrad 1.0186 mil
2 mrad 2.0372 mil
3 mrad 3.0558 mil
4 mrad 4.0744 mil
5 mrad 5.093 mil
6 mrad 6.1116 mil
7 mrad 7.1301 mil
8 mrad 8.1487 mil
9 mrad 9.1673 mil
10 mrad 10.19 mil
11 mrad 11.2 mil
12 mrad 12.22 mil
13 mrad 13.24 mil
14 mrad 14.26 mil
15 mrad 15.28 mil
16 mrad 16.3 mil
17 mrad 17.32 mil
18 mrad 18.33 mil
19 mrad 19.35 mil
20 mrad 20.37 mil
21 mrad 21.39 mil
22 mrad 22.41 mil
23 mrad 23.43 mil
24 mrad 24.45 mil
25 mrad 25.46 mil
26 mrad 26.48 mil
27 mrad 27.5 mil
28 mrad 28.52 mil
29 mrad 29.54 mil
30 mrad 30.56 mil
31 mrad 31.58 mil
32 mrad 32.59 mil
33 mrad 33.61 mil
34 mrad 34.63 mil
35 mrad 35.65 mil
36 mrad 36.67 mil
37 mrad 37.69 mil
38 mrad 38.71 mil
39 mrad 39.73 mil
40 mrad 40.74 mil

More Milliradian Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
Convert to Degrees
1 mrad is equal to 0.057296 degrees
Convert to Minutes Of Arc
1 mrad is equal to 3.437747 minutes of arc
Convert to Seconds Of Arc
1 mrad is equal to 206.264806 seconds of arc
Convert to Gradians
1 mrad is equal to 0.063662 gradians
Convert to Revolutions
1 mrad is equal to 0.000159 revolutions
Convert to Circles
1 mrad is equal to 0.000159 circles