Gradians to Circles Conversion (g to cir)

Gradians to Circles Converter

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

Result in Circles:

1^g = 0.0025 cir

How to Convert Gradians to Circles

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

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

circles = gradians ÷ 400

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

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

circles = (500^g ÷ 400) = 1.25 cir

Gradians and circles 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 Circle?

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.

A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.

Learn more about circles.

Gradian to Circle Conversion Table

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

Table showing various gradian measurements converted to circles.

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

20^g

0.05 cir

30^g

0.075 cir

40^g

0.1 cir

50^g

0.125 cir

60^g

0.15 cir

70^g

0.175 cir

80^g

0.2 cir

90^g

0.225 cir

100^g

0.25 cir

200^g

0.5 cir

300^g

0.75 cir

400^g

1 cir

500^g

1.25 cir

600^g

1.5 cir

700^g

1.75 cir

800^g

2 cir

900^g

2.25 cir

1,000^g

2.5 cir

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