Convert radian to degree
Enter the value to convert from radian to degree.
How to Convert Radian to Degree
Converting radian to degree is straightforward using our conversion calculator.
Conversion Formula
° = rad × 57.29578Reverse conversion: Convert degree to radian
Comparison: Radian vs Degree
When to Use Each Unit
Radian: Primary unit in mathematics, physics, engineering calculations, and scientific applications requiring precise angular measurement.
Degree: Universal standard for navigation, surveying, engineering, geography, and most practical angle measurements worldwide.
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 Degree
Definition: The degree (symbol: °) is a unit of angular measurement where a full circle is divided into 360 equal parts.
History: Ancient Babylonian origin based on their sexagesimal (base-60) number system and approximate 360-day year calendar.
Current Use: Universal standard for navigation, surveying, engineering, geography, and most practical angle measurements worldwide.
Examples: Geographic coordinates: 0-360°, compass bearings: 0-360°, building angles: 30-90°, camera rotation: 0-360°