Circles to Gradians Conversion (cir to g)

Circles to Gradians Converter

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

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Result in Gradians:

1 cir = 400^g

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) = 2,000^g

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 = 400^g

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
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.

Circle to Gradian Conversion Table

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

Table showing various circle measurements converted to gradians.

Circles

Gradians

1 cir

400^g

2 cir

800^g

3 cir

1,200^g

4 cir

1,600^g

5 cir

2,000^g

6 cir

2,400^g

7 cir

2,800^g

8 cir

3,200^g

9 cir

3,600^g

10 cir

4,000^g

11 cir

4,400^g

12 cir

4,800^g

13 cir

5,200^g

14 cir

5,600^g

15 cir

6,000^g

16 cir

6,400^g

17 cir

6,800^g

18 cir

7,200^g

19 cir

7,600^g

20 cir

8,000^g

21 cir

8,400^g

22 cir

8,800^g

23 cir

9,200^g

24 cir

9,600^g

25 cir

10,000^g

26 cir

10,400^g

27 cir

10,800^g

28 cir

11,200^g

29 cir

11,600^g

30 cir

12,000^g

31 cir

12,400^g

32 cir

12,800^g

33 cir

13,200^g

34 cir

13,600^g

35 cir

14,000^g

36 cir

14,400^g

37 cir

14,800^g

38 cir

15,200^g

39 cir

15,600^g

40 cir

16,000^g

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