Convert radian to revolution
Please provide values below to convert radian [rad] to revolution [r], or Convert revolution to radian.
1 rad = 0.159154943092 r. To convert radian to revolution, multiply the value by 0.159154943092; to go the other way, divide by it (1 r = 6.28318530719 rad). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 rad = 0.159154943092 r
- 1 r = 6.28318530719 rad
- 10 rad = 1.59154943092 r
- 100 rad = 15.9154943092 r
How to Convert Radian to Revolution
1 rad = 0.159154943091667 r
Example: convert 15 rad to r:
15 rad = 15 × 0.159154943091667 r = 2.387324146375 r
Radian to Revolution Conversion Table
| radian | revolution |
|---|---|
| 1 rad | 0.159154943092 r |
| 2 rad | 0.318309886183 r |
| 3 rad | 0.477464829275 r |
| 5 rad | 0.795774715458 r |
| 10 rad | 1.59154943092 r |
| 20 rad | 3.18309886183 r |
| 50 rad | 7.95774715458 r |
| 100 rad | 15.9154943092 r |
| 500 rad | 79.5774715458 r |
| 1000 rad | 159.154943092 r |
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.
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 2π radians.
Frequently Asked Questions
What is 1 radian in revolution?
1 radian (rad) = 0.159154943092 revolution (r).
How do you convert radian to revolution?
Multiply the radian value by 0.159154943092. For example, 25 rad × 0.159154943092 = 3.97887357729 r.
What is 10 radian in revolution?
10 rad = 1.59154943092 r.
Which unit is larger, the radian or the revolution?
The revolution is the larger unit: 1 rad equals only 0.159154943092 r.