Convert Grad to Radians

Enter your grad value in the form below to get the value calculated in radians.

Results in Radians:
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1g = 0.015708 rad

How to Convert Grad to Radians Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert grad to radians with this simple formula:

radians = grad × 0.015708

Converting a grad angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A grad is equal to 0.015708 radians, so to convert simply multiply by 0.015708.

For example:
5g = (5 × 0.015708) = 0.07854 rad

Grad and radians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A grad is an angle measurement and can be abbreviated as g, for example 1g. A radian is an angle measurement and can be abbreviated as rad, for example 1 rad.

A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.

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
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

grad and radians are units used to measure angle
Convert Radians to Grad

Grad Measurements and Equivalent Radian Conversions

Common grad values converted to the equivalent radian value
Grad Radians
1g 0.015708 rad
2g 0.031416 rad
3g 0.047124 rad
4g 0.062832 rad
5g 0.07854 rad
6g 0.094248 rad
7g 0.109956 rad
8g 0.125664 rad
9g 0.141372 rad
10g 0.15708 rad
11g 0.172788 rad
12g 0.188496 rad
13g 0.204204 rad
14g 0.219911 rad
15g 0.235619 rad
16g 0.251327 rad
17g 0.267035 rad
18g 0.282743 rad
19g 0.298451 rad
20g 0.314159 rad
21g 0.329867 rad
22g 0.345575 rad
23g 0.361283 rad
24g 0.376991 rad
25g 0.392699 rad
26g 0.408407 rad
27g 0.424115 rad
28g 0.439823 rad
29g 0.455531 rad
30g 0.471239 rad
31g 0.486947 rad
32g 0.502655 rad
33g 0.518363 rad
34g 0.534071 rad
35g 0.549779 rad
36g 0.565487 rad
37g 0.581195 rad
38g 0.596903 rad
39g 0.612611 rad
40g 0.628319 rad

More Angle Conversions

Convert to Degrees Angle
1g is equal to 0.9 degrees
Convert to Revolutions Angle
1g is equal to 0.0025 revolutions
Convert to Circles Angle
1g is equal to 0.0025 circles
Convert to Mils Angle
1g is equal to 16 mils