Convert Radians to Gradians

Enter your radian value in the form below to get the value calculated in gradians.

Results in Gradians:

1 rad = 63.661977^g

How to Convert Radians to Gradians

Protractors are often used to measure angle

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Convert radians to gradians with this simple formula:

gradians = radians × 63.661977

Converting a radian angle measurement to a gradian measurement involves multiplying the angle by the conversion ratio to find the result. One radian is equal to 63.661977 gradians, so to convert simply multiply by 63.661977.

For example:

5 rad = (5 × 63.661977) = 318.309886^g

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

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

radians and gradians are units used to measure angle

Convert Gradians to Radians

Radian Measurements and Equivalent Gradian Conversions

Common radian values converted to the equivalent gradian value
Radians	Gradians
1 rad	63.66^g
2 rad	127.32^g
3 rad	190.99^g
4 rad	254.65^g
5 rad	318.31^g
6 rad	381.97^g
7 rad	445.63^g
8 rad	509.3^g
9 rad	572.96^g
10 rad	636.62^g
11 rad	700.28^g
12 rad	763.94^g
13 rad	827.61^g
14 rad	891.27^g
15 rad	954.93^g
16 rad	1,019^g
17 rad	1,082^g
18 rad	1,146^g
19 rad	1,210^g
20 rad	1,273^g
21 rad	1,337^g
22 rad	1,401^g
23 rad	1,464^g
24 rad	1,528^g
25 rad	1,592^g
26 rad	1,655^g
27 rad	1,719^g
28 rad	1,783^g
29 rad	1,846^g
30 rad	1,910^g
31 rad	1,974^g
32 rad	2,037^g
33 rad	2,101^g
34 rad	2,165^g
35 rad	2,228^g
36 rad	2,292^g
37 rad	2,355^g
38 rad	2,419^g
39 rad	2,483^g
40 rad	2,546^g