Degree to Radian
Convert Degree (°) to Radian (rad).
Formula and method
result = value × (0.017453292519943295 ÷ 1).
The source value is converted to the catalog’s canonical unit, then expressed in the target unit.
Worked examples
These examples use the same conversion engine as the calculator.
- 1 °0.01745329 rad
- 5 °0.08726646 rad
- 10 °0.17453293 rad
Common Degree values
| Degree (°) | Radian (rad) |
|---|---|
| 1 | 0.01745329 |
| 2 | 0.03490659 |
| 5 | 0.08726646 |
| 10 | 0.17453293 |
| 25 | 0.43633231 |
| 50 | 0.87266463 |
| 100 | 1.74532925 |
| 250 | 4.36332313 |
| 500 | 8.72664626 |
| 1,000 | 17.45329252 |
How to convert Degree to Radian
- Enter a value in Degree in the converter above.
- The calculator converts it using the catalog’s linear method.
- Choose the decimal precision you need,then copy the displayed result if useful.
Frequently asked questions
What is the formula for Degree to Radian?
result = value × (0.017453292519943295 ÷ 1). The source value is converted to the catalog’s canonical unit, then expressed in the target unit.
Can I convert Radian back to Degree?
Yes. Use Swap Units when the reverse pair is available in the catalog. The page URL changes to the reverse conversion and the entered value is retained.
Why can a value be rejected?
The engine rejects non-finite values and negative values for units that do not allow them.
How are displayed decimal places chosen?
Use the Decimal precision selector above the result. Very large or very small results switch to scientific notation when that makes the value easier to read.