Convert revolution to radian
Please provide values below to convert revolution [r] to radian [rad], or Convert radian to revolution.
How to Convert Revolution to Radian
1 r = 6.28318530718861 rad
Example: convert 15 r to rad:
15 r = 15 Γ 6.28318530718861 rad = 94.2477796078292 rad
Revolution to Radian Conversion Table
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Revolution
A revolution is a complete turn or rotation around a central point, typically measuring 360 degrees in angular terms.
History/Origin
The concept of a revolution as a full rotation has origins in ancient geometry and astronomy, with the term 'revolution' historically used to describe celestial orbits and rotations in various cultures.
Current Use
In modern contexts, the unit 'revolution' (symbol: r) is used to quantify angular displacement, especially in mechanical and engineering applications, where one revolution equals 360 degrees or 2Ο radians.
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.