Convert radian to turn
Enter the value to convert from radian to turn.
How to Convert Radian to Turn
Converting radian to turn is straightforward using our conversion calculator.
Conversion Formula
tr = rad ÷ 3.1415927Reverse conversion: Convert turn to radian
Comparison: Radian vs Turn
When to Use Each Unit
Radian: Primary unit in mathematics, physics, engineering calculations, and scientific applications requiring precise angular measurement.
Turn: Used for describing rotational speed, mechanical rotations, and complete angular motions in engineering.
Common Conversion Values
- 2π rad = 360°
- π rad = 180°
- π/2 rad = 90°
- 1 rad ≈ 57.3°
About Radian
Definition: The radian (symbol: rad) is the SI unit of angular measurement where one radian equals the angle subtending an arc equal to the radius.
History: Introduced in 1714 by mathematician Roger Cotes. Became standard in mathematics for its natural relationship to circular functions.
Current Use: Primary unit in mathematics, physics, engineering calculations, and scientific applications requiring precise angular measurement.
Examples: Calculus: trigonometric functions, physics: angular velocity, engineering: rotational mechanics, robotics: joint angles
About Turn
Definition: The turn (symbol: tr) represents one complete rotation or revolution, equal to 360 degrees or 2π radians.
History: Natural unit representing complete rotational motion, used in mechanical systems and rotational applications.
Current Use: Used for describing rotational speed, mechanical rotations, and complete angular motions in engineering.
Examples: Motor rotations: RPM (revolutions per minute), mechanical systems: gear ratios, astronomy: planetary rotations