Convert Radians to Gradians

Enter the angle in radians below to get the value converted to gradians.

Results in Gradians:

1 rad = 63.661977^g

Do you want to convert gradians to radians?

How to Convert Radians to Gradians

Protractors are often used to measure angle

To convert a radian measurement to a gradian measurement, multiply the angle by the conversion ratio. One radian is equal to 63.661977 gradians, so use this simple formula to convert:

gradians = radians × 63.661977

The angle in gradians is equal to the radians multiplied by 63.661977.

For example, here's how to convert 5 radians to gradians using the formula above.

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

Radians and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

Radians

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as ^c, r, or ^R. For example, 1 radian can be written as 1 rad, 1 ^c, 1 r, or 1 ^R.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

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

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as ^g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1^g, 1 gr, or 1 grd.

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