Gradians to Revolutions Conversion (g to r)

Gradians to Revolutions Converter

Enter the angle in gradians below to convert it to revolutions.

Result in Revolutions:

1^g = 0.0025 r

How to Convert Gradians to Revolutions

To convert a measurement in gradians to a measurement in revolutions, divide the angle by the following conversion ratio: 400 gradians/revolution.

Since one revolution is equal to 400 gradians, you can use this simple formula to convert:

revolutions = gradians ÷ 400

The angle in revolutions is equal to the angle in gradians divided by 400.

For example, here's how to convert 500 gradians to revolutions using the formula above.

revolutions = (500^g ÷ 400) = 1.25 r

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

What Is a Gradian?

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^-2 radians.^[1]

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.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

Learn more about gradians.

What Is a Revolution?

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.

Learn more about revolutions.

Gradian to Revolution Conversion Table

Table showing various gradian measurements converted to revolutions.
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
20^g	0.05 r
30^g	0.075 r
40^g	0.1 r
50^g	0.125 r
60^g	0.15 r
70^g	0.175 r
80^g	0.2 r
90^g	0.225 r
100^g	0.25 r
200^g	0.5 r
300^g	0.75 r
400^g	1 r
500^g	1.25 r
600^g	1.5 r
700^g	1.75 r
800^g	2 r
900^g	2.25 r
1,000^g	2.5 r

Table showing various gradian measurements converted to revolutions.

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

20^g

0.05 r

30^g

0.075 r

40^g

0.1 r

50^g

0.125 r

60^g

0.15 r

70^g

0.175 r

80^g

0.2 r

90^g

0.225 r

100^g

0.25 r

200^g

0.5 r

300^g

0.75 r

400^g

1 r

500^g

1.25 r

600^g

1.5 r

700^g

1.75 r

800^g

2 r

900^g

2.25 r

1,000^g

2.5 r

References

Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf