Convert radian to turn
Please provide values below to convert radian [rad] to turn [None], or Convert turn to radian.
1 rad = 0.159154943092 None. To convert radian to turn, multiply the value by 0.159154943092; to go the other way, divide by it (1 None = 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 None
- 1 None = 6.28318530719 rad
- 10 rad = 1.59154943092 None
- 100 rad = 15.9154943092 None
How to Convert Radian to Turn
1 rad = 0.159154943091667 None
Example: convert 15 rad to None:
15 rad = 15 × 0.159154943091667 None = 2.387324146375 None
Radian to Turn Conversion Table
| radian | turn |
|---|---|
| 1 rad | 0.159154943092 None |
| 2 rad | 0.318309886183 None |
| 3 rad | 0.477464829275 None |
| 5 rad | 0.795774715458 None |
| 10 rad | 1.59154943092 None |
| 20 rad | 3.18309886183 None |
| 50 rad | 7.95774715458 None |
| 100 rad | 15.9154943092 None |
| 500 rad | 79.5774715458 None |
| 1000 rad | 159.154943092 None |
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 2π 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.
Frequently Asked Questions
What is 1 radian in turn?
1 radian (rad) = 0.159154943092 turn (None).
How do you convert radian to turn?
Multiply the radian value by 0.159154943092. For example, 25 rad × 0.159154943092 = 3.97887357729 None.
What is 10 radian in turn?
10 rad = 1.59154943092 None.
Which unit is larger, the radian or the turn?
The turn is the larger unit: 1 rad equals only 0.159154943092 None.