Convert Gradians to Milliradians

Enter your gradian value in the form below to get the value calculated in milliradians.

Results in Milliradians:

1^g = 15.707963 mrad

How to Convert Gradians to Milliradians

Protractors are often used to measure angle

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Convert gradians to milliradians with this simple formula:

milliradians = gradians × 15.707963

Converting a gradian angle measurement to a milliradian measurement involves multiplying the angle by the conversion ratio to find the result. One gradian is equal to 15.707963 milliradians, so to convert simply multiply by 15.707963.

For example:

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

Gradians and milliradians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. Gradians are an angle measurement and can be abbreviated as ^g, for example 1^g. Milliradians are an angle measurement and can be abbreviated as mrad, for example 1 mrad.

A grad, more specifically a gradian, is equal to 1/400 of a circle or 9/10°. The grad simplifies the measurements of right angles, as 90° is equal to 100 grad.

Right angles in gradians
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 mrad and there are 6,283 mrad in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

gradians and milliradians are units used to measure angle

Convert Milliradians to Gradians

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