Angle
degrees to radians Converter
1 deg = 0.01745 rad. Enter any value and the result updates instantly.
Convert
How to convert degrees to radians
- Type the degrees value in the calculator.
- Keep degrees selected as the from unit and radians selected as the to unit.
- Use the instant result, or copy it with the copy button.
degrees to radians chart
| degrees | radians |
|---|---|
| 1 deg | 0.01745 rad |
| 5 deg | 0.08727 rad |
| 10 deg | 0.17453 rad |
| 50 deg | 0.87266 rad |
| 100 deg | 1.7453 rad |
| 180 deg | 3.1416 rad |
Formula
rad = deg x 0.01745329252
Example: 1 deg = 0.01745 rad.
Source
Angle relationships derived from a full turn equaling 2 pi radians.
Common questions
How do I convert degrees to radians?
Enter the degrees value in the converter, or multiply by the factor shown in the formula. 1 deg = 0.01745 rad.
What is 1 deg = 0.01745 rad?
1 deg = 0.01745 rad. The chart on this page gives more common degrees to radians values.
Where does this angle conversion come from?
Angle relationships derived from a full turn equaling 2 pi radians. ConverterBase uses stable definitions and fixed conversion factors, not live or rounded market data.