Revolutions to Gradians Conversion (r to g)

Revolutions to Gradians Converter

Enter the angle in revolutions below to convert it to gradians.

Result in Gradians:

1 r = 400^g

How to Convert Revolutions to Gradians

To convert a measurement in revolutions to a measurement in gradians, multiply the angle by the following conversion ratio: 400 gradians/revolution.

Since one revolution is equal to 400 gradians, you can use this simple formula to convert:

gradians = revolutions × 400

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

For example, here's how to convert 5 revolutions to gradians using the formula above.

gradians = (5 r × 400) = 2,000^g

How Many Gradians Are in a Revolution?

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

1 r = 400^g

Revolutions and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

What Is a Revolution?

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Learn more about revolutions.

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.

Revolution to Gradian Conversion Table

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

Table showing various revolution measurements converted to gradians.

Revolutions

Gradians

1 r

400^g

2 r

800^g

3 r

1,200^g

4 r

1,600^g

5 r

2,000^g

6 r

2,400^g

7 r

2,800^g

8 r

3,200^g

9 r

3,600^g

10 r

4,000^g

11 r

4,400^g

12 r

4,800^g

13 r

5,200^g

14 r

5,600^g

15 r

6,000^g

16 r

6,400^g

17 r

6,800^g

18 r

7,200^g

19 r

7,600^g

20 r

8,000^g

21 r

8,400^g

22 r

8,800^g

23 r

9,200^g

24 r

9,600^g

25 r

10,000^g

26 r

10,400^g

27 r

10,800^g

28 r

11,200^g

29 r

11,600^g

30 r

12,000^g

31 r

12,400^g

32 r

12,800^g

33 r

13,200^g

34 r

13,600^g

35 r

14,000^g

36 r

14,400^g

37 r

14,800^g

38 r

15,200^g

39 r

15,600^g

40 r

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