Convert Gradians to Mils (NATO)

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

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1g = 16 mil

How to Convert Gradians to Mils (NATO)

Protractors are often used to measure angle

To convert a gradian measurement to a mil measurement, multiply the angle by the conversion ratio. One gradian is equal to 16 mils (NATO), so use this simple formula to convert:

mils (NATO) = gradians × 16

The angle in mils (NATO) is equal to the gradians multiplied by 16.

For example, here's how to convert 5 gradians to mils (NATO) using the formula above.
5g = (5 × 16) = 80 mil

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

Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. 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.

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.

Gradian Measurements and Equivalent Mil Conversions

Common gradian values converted to the equivalent mil value
Gradians Mils (NATO)
1g 16 mil
2g 32 mil
3g 48 mil
4g 64 mil
5g 80 mil
6g 96 mil
7g 112 mil
8g 128 mil
9g 144 mil
10g 160 mil
11g 176 mil
12g 192 mil
13g 208 mil
14g 224 mil
15g 240 mil
16g 256 mil
17g 272 mil
18g 288 mil
19g 304 mil
20g 320 mil
21g 336 mil
22g 352 mil
23g 368 mil
24g 384 mil
25g 400 mil
26g 416 mil
27g 432 mil
28g 448 mil
29g 464 mil
30g 480 mil
31g 496 mil
32g 512 mil
33g 528 mil
34g 544 mil
35g 560 mil
36g 576 mil
37g 592 mil
38g 608 mil
39g 624 mil
40g 640 mil

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Milliradians
1g is equal to 15.707963 milliradians
Convert to Degrees
1g is equal to 0.9 degrees
Convert to Minutes Of Arc
1g is equal to 54 minutes of arc
Convert to Seconds Of Arc
1g is equal to 3,240 seconds of arc
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Circles
1g is equal to 0.0025 circles