Convert Gradians to Revolutions

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

Results in Revolutions:

1^g = 0.0025 r

Do you want to convert revolutions to gradians?

How to Convert Gradians to Revolutions

Protractors are often used to measure angle

To convert a gradian measurement to a revolution measurement, multiply the angle by the conversion ratio. One gradian is equal to 0.0025 revolutions, so use this simple formula to convert:

revolutions = gradians × 0.0025

The angle in revolutions is equal to the gradians multiplied by 0.0025.

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

5^g = (5 × 0.0025) = 0.0125 r

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

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.

Revolutions

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Gradian Measurements and Equivalent Revolution Conversions

Common gradian values converted to the equivalent revolution value
Gradians	Revolutions
1^g	0.0025 r
2^g	0.005 r
3^g	0.0075 r
4^g	0.01 r
5^g	0.0125 r
6^g	0.015 r
7^g	0.0175 r
8^g	0.02 r
9^g	0.0225 r
10^g	0.025 r
11^g	0.0275 r
12^g	0.03 r
13^g	0.0325 r
14^g	0.035 r
15^g	0.0375 r
16^g	0.04 r
17^g	0.0425 r
18^g	0.045 r
19^g	0.0475 r
20^g	0.05 r
21^g	0.0525 r
22^g	0.055 r
23^g	0.0575 r
24^g	0.06 r
25^g	0.0625 r
26^g	0.065 r
27^g	0.0675 r
28^g	0.07 r
29^g	0.0725 r
30^g	0.075 r
31^g	0.0775 r
32^g	0.08 r
33^g	0.0825 r
34^g	0.085 r
35^g	0.0875 r
36^g	0.09 r
37^g	0.0925 r
38^g	0.095 r
39^g	0.0975 r
40^g	0.1 r