Revolution to Radian Conversion

Convert between Revolution and Radian quickly and accurately.

r
rad

How to Convert Revolution to Radian

Conversion Formula

1 r = 6.283 rad
1 rad = 0.159 r

Example

Convert 15 r to rad:

15 r = 15 × 6.283 rad = 94.248 rad

Unit Information

Learn about the angle units you're converting between

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

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 to Radian Conversion Table

Revolution [r] Radian [rad]
1 r 6.283185 rad
10 r 62.831853 rad
25 r 157.079633 rad
50 r 314.159265 rad
100 r 628.318531 rad
0 r 0E+0 rad
-10 r -62.831853 rad
-40 r -251.327412 rad