Protractors are often used to measure angle

Convert Grad to Radians

Convert from grad to radians with this simple formula:
radians = grad × 0.015708
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1 Grad = 0.015708 Radians

Learn How to Convert Grad to Radians Using our Conversion Formula

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, 5^g = (5 × 0.015708) = 0.07854rad.

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 1^g. A radian is an angle measurement and can be abbreviated as rad, for example 1rad.

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 100grad.

Right angles in gradians
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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

More Angle Conversions

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

Grad Measurements and Equivalent Radian Conversions

Common grad values converted to the equivalent radian value
Grad Radians Grad Radians Grad Radians
1 0.015708 21 0.329867 41 0.644026
2 0.031416 22 0.345575 42 0.659734
3 0.047124 23 0.361283 43 0.675442
4 0.062832 24 0.376991 44 0.69115
5 0.07854 25 0.392699 45 0.706858
6 0.094248 26 0.408407 46 0.722566
7 0.109956 27 0.424115 47 0.738274
8 0.125664 28 0.439823 48 0.753982
9 0.141372 29 0.455531 49 0.76969
10 0.15708 30 0.471239 50 0.785398
11 0.172788 31 0.486947 51 0.801106
12 0.188496 32 0.502655 52 0.816814
13 0.204204 33 0.518363 53 0.832522
14 0.219911 34 0.534071 54 0.84823
15 0.235619 35 0.549779 55 0.863938
16 0.251327 36 0.565487 56 0.879646
17 0.267035 37 0.581195 57 0.895354
18 0.282743 38 0.596903 58 0.911062
19 0.298451 39 0.612611 59 0.92677
20 0.314159 40 0.628319 60 0.942478