Convert radian to turn

Please provide values below to convert radian [rad] to turn [None], or Convert turn to radian.




How to Convert Radian to Turn

1 rad = 0.159154943091667 None

Example: convert 15 rad to None:
15 rad = 15 Γ— 0.159154943091667 None = 2.387324146375 None


Radian to Turn Conversion Table

radian turn

Radian

A radian is the standard unit of angular measure in mathematics, defined as the angle subtended at the center of a circle by an arc equal in length to the circle's radius.

History/Origin

The radian was introduced in the 19th century as a natural unit of angular measurement based on the properties of circles, providing a more mathematically convenient measure than degrees.

Current Use

Radians are widely used in mathematics, physics, and engineering for calculations involving angles, trigonometry, and periodic functions, serving as the standard angular unit in many scientific contexts.


Turn

A turn is a unit of angular measurement representing a full rotation of 360 degrees or 2Ο€ radians.

History/Origin

The concept of a turn as a measure of rotation dates back to ancient civilizations that divided circles into parts for navigation and astronomy. It has been standardized in modern times as a convenient way to express rotations, especially in engineering and physics.

Current Use

The turn is used in various fields such as engineering, robotics, and navigation to describe the amount of rotation or angular displacement, often in contexts where a full rotation is relevant, such as in gear ratios, steering, and angular measurements.