Convert Gradians to Milliradians

Enter the angle in gradians below to get the value converted to milliradians.

Results in Milliradians:

1^g = 15.707963 mrad

Do you want to convert milliradians to gradians?

How to Convert Gradians to Milliradians

Protractors are often used to measure angle

To convert a gradian measurement to a milliradian measurement, multiply the angle by the conversion ratio. One gradian is equal to 15.707963 milliradians, so use this simple formula to convert:

milliradians = gradians × 15.707963

The angle in milliradians is equal to the gradians multiplied by 15.707963.

For example, here's how to convert 5 gradians to milliradians using the formula above.

5^g = (5 × 15.707963) = 78.539816 mrad

Gradians and milliradians 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
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

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 1^g, 1 gr, or 1 grd.

Milliradians

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.

Gradian Measurements and Equivalent Milliradian Conversions

Common gradian values converted to the equivalent milliradian value
Gradians	Milliradians
1^g	15.71 mrad
2^g	31.42 mrad
3^g	47.12 mrad
4^g	62.83 mrad
5^g	78.54 mrad
6^g	94.25 mrad
7^g	109.96 mrad
8^g	125.66 mrad
9^g	141.37 mrad
10^g	157.08 mrad
11^g	172.79 mrad
12^g	188.5 mrad
13^g	204.2 mrad
14^g	219.91 mrad
15^g	235.62 mrad
16^g	251.33 mrad
17^g	267.04 mrad
18^g	282.74 mrad
19^g	298.45 mrad
20^g	314.16 mrad
21^g	329.87 mrad
22^g	345.58 mrad
23^g	361.28 mrad
24^g	376.99 mrad
25^g	392.7 mrad
26^g	408.41 mrad
27^g	424.12 mrad
28^g	439.82 mrad
29^g	455.53 mrad
30^g	471.24 mrad
31^g	486.95 mrad
32^g	502.65 mrad
33^g	518.36 mrad
34^g	534.07 mrad
35^g	549.78 mrad
36^g	565.49 mrad
37^g	581.19 mrad
38^g	596.9 mrad
39^g	612.61 mrad
40^g	628.32 mrad