radians to degrees Converter
Convert radians to degrees instantly. Includes a reference table and formula.
| radians | degrees |
|---|
How to convert radians to degrees
Enter your value
Type the number of radians you want to convert into the left box. The result in degrees appears instantly in the right box. You can also type into the right box to convert in the other direction.
Use the swap button
Click the ⇄ Swap button to reverse the conversion — degrees to radians. Your current value carries across so you don't have to re-enter anything.
About radians and degrees
radians and degrees are both angle measurements. Use this converter to switch between them instantly.
π radians = 180°. The conversion factor π/180 appears everywhere in physics and engineering. Degrees were chosen in ancient Babylon because 360 divides cleanly by 2, 3, 4, 5, 6, 8, 9, 10, 12 — useful before calculators. Radians were formalised later when calculus showed they make trig functions their simplest.
| radians | degrees |
|---|---|
| 0.25 | 14.32 |
| 0.5 | 28.65 |
| 0.785 | 44.98 |
| 1 | 57.3 |
| 1.047 | 59.99 |
| 1.571 | 90.01 |