Enter the angle in circles below to get the value converted to gradians. 1 cir = 400g
Do you want to convert gradians to circles?

## How to Convert Circles to Gradians

To convert a circle measurement to a gradian measurement, multiply 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 gradians is equal to the circles multiplied by 400.

For example, here's how to convert 5 circles to gradians using the formula above.
5 cir = (5 × 400) = 2,000g

### How Many Gradians Are in a Circle?

There are 400 gradians in a circle, which is why we use this value in the formula above.

1 cir = 400g

## 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.

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.

1 cir 400g
2 cir 800g
3 cir 1,200g
4 cir 1,600g
5 cir 2,000g
6 cir 2,400g
7 cir 2,800g
8 cir 3,200g
9 cir 3,600g
10 cir 4,000g
11 cir 4,400g
12 cir 4,800g
13 cir 5,200g
14 cir 5,600g
15 cir 6,000g
16 cir 6,400g
17 cir 6,800g
18 cir 7,200g
19 cir 7,600g
20 cir 8,000g
21 cir 8,400g
22 cir 8,800g
23 cir 9,200g
24 cir 9,600g
25 cir 10,000g
26 cir 10,400g
27 cir 10,800g
28 cir 11,200g
29 cir 11,600g
30 cir 12,000g
31 cir 12,400g
32 cir 12,800g
33 cir 13,200g
34 cir 13,600g
35 cir 14,000g
36 cir 14,400g
37 cir 14,800g
38 cir 15,200g
39 cir 15,600g
40 cir 16,000g

## 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