Radian to Degree Converter (rad to °)
1 radian equals 57.29578 degrees (1 rad = 57.29578°) — multiply the number of radians by 57.29578 to convert. The exact factor is 180/π, because a full circle is 2π radians and 360 degrees.
The formula
To convert radians to degrees, multiply by 180/π:
° = rad × 57.29578
For example, 3.14159 rad × 57.29578 ≈ 180° (π radians is a half turn). To reverse it, divide degrees by 57.29578 (or multiply by 0.01745329).
Conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 1 | 57.29578 |
| 2 | 114.59156 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 25 | 1,432.3945 |
| 50 | 2,864.789 |
| 100 | 5,729.578 |
| 500 | 28,647.89 |
| 1000 | 57,295.78 |
How to convert online
- Type your radian value into the first box.
- Read the degree result instantly in the second box.
- Or enter degrees to convert back to radians — it works both ways.
Use the Radian to Degree Converter — free and instant in your browser.
Where this conversion is used
Math and trig functions in most programming languages work in radians, while people usually think in degrees, so this conversion is a constant need in graphics, game development, robotics and navigation. It also helps students check textbook answers given in degrees against radian-based calculations.
FAQ
How many degrees are in a radian?
One radian equals 57.29578 degrees. For example, 10 rad = 572.9578°.
What is the formula to convert radians to degrees?
Multiply the radian value by 180/π (about 57.29578): ° = rad × 57.29578.
How do I convert degrees back to radians?
Divide by 57.29578 (multiply by π/180, about 0.01745329). So 180° = π radians ≈ 3.14159 rad.
Is the conversion exact?
The exact factor is 180/π, an irrational number; 57.29578 is its rounded value and is precise for everyday use.
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