Turn to Radian Conversion

Convert between Turn and Radian quickly and accurately.

From Turn

turn

To Radian

rad

How to Convert Turn to Radian

Conversion Formula

1 turn = 6.283 rad

1 rad = 0.159 turn

Example

Convert 15 turn to rad:

15 turn = 15 × 6.283 rad = 94.248 rad

Unit Information

Learn about the angle units you're converting between

Turn

turn

Definition

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

History/Origin

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

Current Use

Turns are used in mechanical engineering, physics, rotational motion calculations, and describing complete rotations.

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