Radians to Degrees Converter
To convert radians to degrees, multiply by 180/π ≈ 57.2958. Example: π/2 radians × 180/π = 90°.
Inverse conversion
To convert degrees to radians, multiply by π/180 ≈ 0.017453. Example: 90° × π/180 = π/2 ≈ 1.5708 radians.
Formula
Formula
degrees = radians × 180 ÷ π
Worked example
Convert 2.5 radians to degrees: 2.5 × 180/π = 2.5 × 57.2958 ≈ 143.24°.
Quick reference table
| rad | ° |
|---|---|
| 0.5236 | 30.00007 |
| 0.7854 | 45.000105 |
| 1.0472 | 60.00014 |
| 1.5708 | 90.00021 |
| 2.0944 | 120.000281 |
| 2.3562 | 135.000316 |
| 3.1416 | 180.000421 |
| 4.7124 | 270.000631 |
| 6.2832 | 360.000842 |
Unit definitions
Radian (rad)
The radian (rad) is the SI unit of plane angle. 2π rad = 360°. Preferred in mathematics, physics, and programming.
Degree (°)
The degree (°) divides a full rotation into 360 equal parts. Standard in everyday use, navigation, and many engineering disciplines.
Common use cases
- Converting from programming output to readable angles
- Sensor and IMU data
- Physics problem solving
- Angle display in UIs