Circles to Gradians Converter

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


Result in Gradians:

Loading content.
1 cir = 400g

Do you want to convert gradians to circles?

How to Convert Circles to Gradians

To convert a measurement in circles to a measurement in gradians, multiply 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:

gradians = circles × 400

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

For example, here's how to convert 5 circles to gradians using the formula above.
gradians = (5 cir × 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 and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

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.

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
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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 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.

Circle to Gradian Conversion Table

Table showing various circle measurements converted to gradians.
Circles Gradians
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


  1. Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology,

More Circle & Gradian Conversions