Convert Gradians to Circles

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

Results in Circles:
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1g = 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.
5g = (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.


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
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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 1g, 1 gr, or 1 grd.


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

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Milliradians
1g is equal to 15.707963 milliradians
Convert to Degrees
1g is equal to 0.9 degrees
Convert to Minutes Of Arc
1g is equal to 54 minutes of arc
Convert to Seconds Of Arc
1g is equal to 3,240 seconds of arc
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)