Convert Gradians to Circles

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

Results in Circles:

1^g = 0.0025 cir

Do you want to convert circles to gradians?

How to Convert Gradians to Circles

Protractors are often used to measure angle

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

circles = gradians × 0.0025

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

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

5^g = (5 × 0.0025) = 0.0125 cir

Gradians and circles 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.

Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

Gradian Measurements and Equivalent Circle Conversions

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