Convert turn to radian
Please provide values below to convert turn [None] to radian [rad], or Convert radian to turn.
How to Convert Turn to Radian
1 None = 6.28318530718861 rad
Example: convert 15 None to rad:
15 None = 15 Γ 6.28318530718861 rad = 94.2477796078292 rad
Turn to Radian Conversion Table
| turn | radian |
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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.
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.