Convert Gradians to Milliradians

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

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Results in Milliradians:
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1g = 15.707963 mrad

How to Convert Gradians to Milliradians

Protractors are often used to measure angle

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:
5g = (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 1g. 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
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Degrees
1g is equal to 0.9 degrees
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Circles
1g is equal to 0.0025 circles
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)