Radian to Circle Conversion

Convert between Radian and Circle quickly and accurately.

rad
circle

How to Convert Radian to Circle

Conversion Formula

1 rad = 0.159 circle
1 circle = 6.283 rad

Example

Convert 15 rad to circle:

15 rad = 15 × 0.159 circle = 2.387 circle

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

Circle

circle

Definition

Circle is a unit of angle measurement equal to one complete turn or 360 degrees. It represents the full angular measure of a circle.

History/Origin

The circle as a unit of angular measurement has been used since ancient times in geometry and astronomy.

Current Use

Circles are used in geometry, engineering, rotational calculations, and describing complete angular measurements.

Multiplier

360

Offset

0

Radian to Circle Conversion Table

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