Convert Radians to Mils (NATO)

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)

Protractors are often used to measure angle

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 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 Measurements and Equivalent Mil Conversions

Common radian values converted to the equivalent mil value
Radians Mils (NATO)
1 rad 1,019 mil
2 rad 2,037 mil
3 rad 3,056 mil
4 rad 4,074 mil
5 rad 5,093 mil
6 rad 6,112 mil
7 rad 7,130 mil
8 rad 8,149 mil
9 rad 9,167 mil
10 rad 10,186 mil
11 rad 11,205 mil
12 rad 12,223 mil
13 rad 13,242 mil
14 rad 14,260 mil
15 rad 15,279 mil
16 rad 16,297 mil
17 rad 17,316 mil
18 rad 18,335 mil
19 rad 19,353 mil
20 rad 20,372 mil
21 rad 21,390 mil
22 rad 22,409 mil
23 rad 23,428 mil
24 rad 24,446 mil
25 rad 25,465 mil
26 rad 26,483 mil
27 rad 27,502 mil
28 rad 28,521 mil
29 rad 29,539 mil
30 rad 30,558 mil
31 rad 31,576 mil
32 rad 32,595 mil
33 rad 33,614 mil
34 rad 34,632 mil
35 rad 35,651 mil
36 rad 36,669 mil
37 rad 37,688 mil
38 rad 38,706 mil
39 rad 39,725 mil
40 rad 40,744 mil

More Radian Angle Conversions

Convert to Milliradians
1 rad is equal to 1,000 milliradians
Convert to Degrees
1 rad is equal to 57.29578 degrees
Convert to Minutes Of Arc
1 rad is equal to 3,437.75 minutes of arc
Convert to Seconds Of Arc
1 rad is equal to 206,264.8 seconds of arc
Convert to Gradians
1 rad is equal to 63.661977 gradians
Convert to Revolutions
1 rad is equal to 0.159155 revolutions
Convert to Circles
1 rad is equal to 0.159155 circles