Degrees to Radians
Convert degrees to radians (° to rad). 1 ° = 0.0174532925199 rad. Use the calculator, formula and conversion table.
How to convert degrees to radians
Multiply the amount in degrees by 0.0174532925199 to get radians. The displayed factor and results are rounded to 12 significant digits.
rad = ° × 0.0174532925199Worked example
1 ° = 0.0174532925199 rad. Change the amount in the calculator above to use your own value.
Units and assumptions
A full turn is 360 degrees, 2π radians or 400 gradians. Angles are converted without wrapping, so values above one turn and negative angles are retained.
Calculator results use floating-point arithmetic and are rounded for display. The reference table below uses up to 12 significant digits.
Degrees to Radians table
| Degrees (°) | Radians (rad) |
|---|---|
| 0 | 0 |
| 1 | 0.0174532925199 |
| 5 | 0.0872664625997 |
| 10 | 0.174532925199 |
| 25 | 0.436332312999 |
| 100 | 1.74532925199 |
| 1,000 | 17.4532925199 |
About this conversion
What is the formula for degrees to radians?
rad = ° × 0.0174532925199. Multiply the amount in degrees by 0.0174532925199 to get radians. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to degrees?
Use the radians to degrees calculator to reverse this conversion. You can also use Swap units in the calculator above.
Can I use a different pair of units?
Choose another unit in the calculator, or open the angle converter to browse all supported pairs.