Circle to Radian Conversion

Convert between Circle and Radian quickly and accurately.

From Circle

circle

To Radian

rad

How to Convert Circle to Radian

Conversion Formula

1 circle = 6.283 rad

1 rad = 0.159 circle

Example

Convert 15 circle to rad:

15 circle = 15 × 6.283 rad = 94.248 rad

Unit Information

Learn about the angle units you're converting between

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

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