Radians to Mils (NATO) Conversion

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

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1 rad = 1,018.591636 mil

How to Convert Radians to Mils (NATO)

conversion scale showing radians and equivalent mils (NATO) angle values

To convert a radian measurement to a mil measurement, multiply the angle by the conversion ratio. One radian is equal to 1,018.591636 mils (NATO), so use this simple formula to convert:

mils (NATO) = radians × 1,018.591636

The angle in mils (NATO) is equal to the radians multiplied by 1,018.591636.

For example, here's how to convert 5 radians to mils (NATO) using the formula above.
5 rad = (5 × 1,018.591636) = 5,092.958179 mil

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

Radians

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] 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 example, 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.

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.

Radian to Mil Conversion Table

Radian measurements converted to mils (NATO)
Radians Mils (NATO)
0.001 rad 1.0186 mil
0.002 rad 2.0372 mil
0.003 rad 3.0558 mil
0.004 rad 4.0744 mil
0.005 rad 5.093 mil
0.006 rad 6.1116 mil
0.007 rad 7.1301 mil
0.008 rad 8.1487 mil
0.009 rad 9.1673 mil
0.01 rad 10.19 mil
0.02 rad 20.37 mil
0.03 rad 30.56 mil
0.04 rad 40.74 mil
0.05 rad 50.93 mil
0.06 rad 61.12 mil
0.07 rad 71.3 mil
0.08 rad 81.49 mil
0.09 rad 91.67 mil
0.1 rad 101.86 mil
0.2 rad 203.72 mil
0.3 rad 305.58 mil
0.4 rad 407.44 mil
0.5 rad 509.3 mil
0.6 rad 611.15 mil
0.7 rad 713.01 mil
0.8 rad 814.87 mil
0.9 rad 916.73 mil
1 rad 1,019 mil

References

  1. International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9.pdf