Convert Gradians to Revolutions

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

Results in Revolutions:
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1g = 0.0025 r

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.
5g = (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.


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

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 Circles
1g is equal to 0.0025 circles
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)