Angle
degrees to radians Converter
1 deg = 0.01745 rad. Enter any value and the result updates instantly.
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Accuracy and rounding
Radians are common in math and code; degrees are common in maps, tools, and everyday angle measurements.
Degrees, radians, gradians, and turns are fixed ways to express the same rotation.
For display, one or two decimals is usually enough. For code, CAD, or trigonometry, keep more precision.
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 should I watch out for?
Radians, degrees, gradians, and turns all measure the same rotation with different reference scales.
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.