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

Results in Circles: 1g = 0.0025 cir
Do you want to convert circles to gradians?

## How to Convert Gradians to Circles

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:

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.
500g = (500 ÷ 400) = 1.25 cir

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.

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

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.

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.

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
20g 0.05 cir
30g 0.075 cir
40g 0.1 cir
50g 0.125 cir
60g 0.15 cir
70g 0.175 cir
80g 0.2 cir
90g 0.225 cir
100g 0.25 cir
200g 0.5 cir
300g 0.75 cir
400g 1 cir
500g 1.25 cir
600g 1.5 cir
700g 1.75 cir
800g 2 cir
900g 2.25 cir
1,000g 2.5 cir

## References

1. 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