Radians → Revolutions converter (rad to rev) - Angle Converter

Table Of Contents

Radians to revolutions Conversion
Formula
Examples
- Convert 180 radians to revolutions:
Conversion table

Radians to revolutions Conversion

1 radians (rad) is equal to 0.1591549431 revolutions (rev).

1 rad = 0.1591549431 rev

1 rev = 6.283185307 rad

Formula

To convert a angle from radians (rad) to revolutions (rev), divide the angle in radians by 6.283185307

a_(rev) = a_(rad) / 6.283185307

Examples:

Convert 180 radians to revolutions:

a_(rev) = 180rad / 6.283185307 = 28.64788976 rev

Conversion table

Radians (rad)	Revolutions (rev)
1 rad	0.159154943 rev
2 rad	0.318309886 rev
3 rad	0.477464829 rev
5 rad	0.795774715 rev
10 rad	1.591549431 rev
15 rad	2.387324146 rev
20 rad	3.183098862 rev
25 rad	3.978873577 rev
30 rad	4.774648293 rev
45 rad	7.161972439 rev
50 rad	7.957747155 rev
60 rad	9.549296586 rev
90 rad	14.323944878 rev
180 rad	28.647889757 rev
360 rad	57.295779513 rev

Radians (rad)

Revolutions (rev)

1 rad

0.159154943 rev

2 rad

0.318309886 rev

3 rad

0.477464829 rev

5 rad

0.795774715 rev

10 rad

1.591549431 rev

15 rad

2.387324146 rev

20 rad

3.183098862 rev

25 rad

3.978873577 rev

30 rad

4.774648293 rev

45 rad

7.161972439 rev

50 rad

7.957747155 rev

60 rad

9.549296586 rev

90 rad

14.323944878 rev

180 rad

28.647889757 rev

360 rad

57.295779513 rev

Revolutions (rev)	Radians (rad)
1 rev	6.283185307 rad
2 rev	12.566370614 rad
3 rev	18.849555922 rad
5 rev	31.415926536 rad
10 rev	62.831853072 rad
15 rev	94.247779608 rad
20 rev	125.663706144 rad
25 rev	157.079632679 rad
30 rev	188.495559215 rad
45 rev	282.743338823 rad
50 rev	314.159265359 rad
60 rev	376.991118431 rad
90 rev	565.486677646 rad
180 rev	1130.973355292 rad
360 rev	2261.946710585 rad

Revolutions (rev)

Radians (rad)

1 rev

6.283185307 rad

2 rev

12.566370614 rad

3 rev

18.849555922 rad

5 rev

31.415926536 rad

10 rev

62.831853072 rad

15 rev

94.247779608 rad

20 rev

125.663706144 rad

25 rev

157.079632679 rad

30 rev

188.495559215 rad

45 rev

282.743338823 rad

50 rev

314.159265359 rad

60 rev

376.991118431 rad

90 rev

565.486677646 rad

180 rev

1130.973355292 rad

360 rev

2261.946710585 rad

Frequently asked questions

How do I convert radians to revolutions?

Divide the value in radians by 6.283185307 to get the result in revolutions. For example, 5 rad ÷ 6.283185307 = 0.795774715 rev.

How many revolutions are in 1 radians?

1 radians (rad) is equal to 0.159154943 revolutions (rev).

How do I convert revolutions back to radians?

Use the inverse operation: multiply the value in revolutions by 6.283185307 to get the result in radians.

How accurate is the radians to revolutions conversion?

The converter multiplies by the conversion factor 6.283185307 and rounds the result to 9 decimal places by default. You can increase or reduce the precision with the digits option on this page.