ConvertOnlineTurns to Radians calculator
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Turns to Radians formula
Use this formula to convert turns to radians:
Calculation
Enter a valid number above to see the formula with your value substituted step by step.
Turns to Radians Conversion Table
Reference values for converting Turns to Radians.
| Turns (turn) | Radians (rad) |
|---|---|
| 0 turn | 0 rad |
| 1 turn | 6.2832 rad |
| 10 turn | 62.8319 rad |
| 45 turn | 282.7433 rad |
| 90 turn | 565.4867 rad |
| 180 turn | 1130.9734 rad |
| 360 turn | 2261.9467 rad |
| 1000 turn | 6283.1853 rad |
Worked example
Convert 0.25 Turns to Radians
Radians = 0.25 × 2 × π = 1.5708 Radians
About these units
Turns
A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.
Radians
Radians are a fundamental unit of angular measurement in the International System of Units (SI). One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Radians are essential in mathematics and physics, particularly in calculus and trigonometry, where they simplify equations and allow for the natural expression of rotational and periodic phenomena.
{"formula":"x * 2 * π","precision":11,"x_desc":"Turns","y_desc":"Radians"}