Gradians to Circles Conversion (g to cir)

Gradians to Circles Conversion

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

Results in Circles:

1^g = 0.0025 cir

How to Convert Gradians to Circles

Protractors are often used to measure angle

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To convert a gradian measurement to a circle measurement, divide the angle by the conversion ratio.

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 gradians divided by 400.

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

500^g = (500 ÷ 400) = 1.25 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°. 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 formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

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 to Circle Conversion Table

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

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

Gradians to Circles Conversion

How to Convert Gradians to Circles

Gradians

Circles

Gradian to Circle Conversion Table

References

More Gradian & Circle Conversions