Convert turn to radian
Please provide values below to convert turn [None] to radian [rad], or Convert radian to turn.
1 None = 6.28318530719 rad. To convert turn to radian, multiply the value by 6.28318530719; to go the other way, divide by it (1 rad = 0.159154943092 None). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 None = 6.28318530719 rad
- 1 rad = 0.159154943092 None
- 10 None = 62.8318530719 rad
- 100 None = 628.318530719 rad
How to Convert Turn to Radian
1 None = 6.28318530718861 rad
Example: convert 15 None to rad:
15 None = 15 × 6.28318530718861 rad = 94.2477796078292 rad
Turn to Radian Conversion Table
| turn | radian |
|---|---|
| 1 None | 6.28318530719 rad |
| 2 None | 12.5663706144 rad |
| 3 None | 18.8495559216 rad |
| 5 None | 31.4159265359 rad |
| 10 None | 62.8318530719 rad |
| 20 None | 125.663706144 rad |
| 50 None | 314.159265359 rad |
| 100 None | 628.318530719 rad |
| 500 None | 3141.59265359 rad |
| 1000 None | 6283.18530719 rad |
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.
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.
Frequently Asked Questions
What is 1 turn in radian?
1 turn (None) = 6.28318530719 radian (rad).
How do you convert turn to radian?
Multiply the turn value by 6.28318530719. For example, 25 None × 6.28318530719 = 157.07963268 rad.
What is 10 turn in radian?
10 None = 62.8318530719 rad.
Which unit is larger, the turn or the radian?
The turn is the larger unit: 1 None = 6.28318530719 rad.