Degrees ↔ Radians Converter
Convert between degrees and radians with π notation.
Radians (decimal)
1.57079633
π notation
π/2
Common angles
| Degrees | Radians | π notation |
|---|---|---|
| 0° | 0.0000 | 0 |
| 30° | 0.5236 | π/6 |
| 45° | 0.7854 | π/4 |
| 60° | 1.0472 | π/3 |
| 90° | 1.5708 | π/2 |
| 120° | 2.0944 | 2π/3 |
| 135° | 2.3562 | 3π/4 |
| 150° | 2.6180 | 5π/6 |
| 180° | 3.1416 | π |
| 270° | 4.7124 | 3π/2 |
| 360° | 6.2832 | 2π |
How degrees and radians relate
Degrees and radians are two ways to measure angles. A full circle is 360° or 2π radians. To convert degrees to radians multiply by π/180; to convert radians to degrees multiply by 180/π. Radians are preferred in mathematics and programming because trigonometric functions (sin, cos, tan) in most languages expect radians.
For other angle conversions see the Angle Converter. For general math tools, try the Scientific Calculator.
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