UnitConRadians to Degrees Converter
Convert radians to degrees for presenting mathematical results in familiar terms, checking trigonometric calculations, and converting programming output to human-readable angles.
Formula
Multiply radians by 180/π (approximately 57.2958) to get degrees. To reverse, multiply degrees by π/180 to get radians.
Quick reference
| Radian (rad) | Degree (°) |
|---|---|
| 0.5236 | 30.00007 |
| 0.7854 | 45.00011 |
| 1 | 57.29578 |
| 1.5708 | 90.00021 |
| 2 | 114.5916 |
| 2.618 | 150.0004 |
| 3.1416 | 180.0004 |
| 4 | 229.1831 |
| 4.7124 | 270.0006 |
| 6.2832 | 360.0008 |
About these units
Radian
The radian became the standard mathematical angle unit in the 18th and 19th centuries. It is defined by the ratio of arc length to radius, making it a dimensionless unit ideally suited to calculus and geometry.
Degree
The degree has been used for angular measurement since Babylonian times. Its 360-part division of the circle remains universal in navigation, surveying, cartography, and everyday angle reference.