Convert Degrees to Radians
Use our free online converter to easily convert from Degrees to Radians. Get accurate conversions instantly.
Converting Degrees to Radians
Converting degrees to radians is essential in mathematics, physics, engineering, and computer graphics, particularly when performing calculations involving trigonometric functions which typically require angles in radians.
Mathematical Relationship
The mathematical relation between degrees and radians is: π radians = 180 degrees. To convert an angle in degrees to radians, multiply the degree value by π/180.
Common Conversion Values
| Degrees | Radians |
|---|---|
| 0 | 0 |
| 30 | 0.5236 |
| 45 | 0.7854 |
| 90 | 1.5708 |
| 180 | 3.1416 |
Unit Definitions
Degrees
The degree (symbol: °) is a unit of angle measurement defined as 1/360 of a full rotation. It is widely used in many fields including navigation, surveying, mathematics, and everyday contexts.
Radians
The radian (symbol: rad) is the SI unit of angle measurement, defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. One full rotation equals 2π radians.
Historical Context
The degree has ancient origins, possibly derived from the Babylonian sexagesimal (base-60) system and the approximation of a year as 360 days. The radian was first recognized as a unit of measurement in the mid-18th century and was adopted as the SI unit of angle measurement in 1960.