Radian to Revolution Conversion

Convert between Radian and Revolution quickly and accurately.

rad
r

How to Convert Radian to Revolution

Conversion Formula

1 rad = 0.159 r
1 r = 6.283 rad

Example

Convert 15 rad to r:

15 rad = 15 × 0.159 r = 2.387 r

Unit Information

Learn about the angle units you're converting between

Radian

rad

Definition

Radian is the SI unit for measuring angles, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian equals approximately 57.2958 degrees.

History/Origin

The radian was introduced by James Thomson in 1873. It became the standard unit for angular measurement in the International System of Units (SI) due to its mathematical elegance.

Current Use

Radians are used in mathematics, physics, engineering, computer graphics, and scientific calculations where precise angular measurements are required.

Multiplier

57.296

Offset

0

Revolution

r

Definition

Revolution is a unit of angle measurement equal to one complete turn or 360 degrees. It represents a full rotation around a circle.

History/Origin

The revolution as a unit of measurement has been used since ancient times to describe complete rotations or cycles.

Current Use

Revolutions are used in mechanical engineering, physics, rotational motion calculations, and describing periodic motion.

Multiplier

360

Offset

0

Radian to Revolution Conversion Table

Radian [rad] Revolution [r]
1 rad 0.159155 r
10 rad 1.591549 r
25 rad 3.978874 r
50 rad 7.957747 r
100 rad 15.915494 r
0 rad 0E+0 r
-10 rad -1.591549 r
-40 rad -6.366198 r