Convert Degrees to Radians
Degrees to Radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.017453 rad |
| 2 ° | 0.034907 rad |
| 5 ° | 0.087266 rad |
| 10 ° | 0.174533 rad |
| 25 ° | 0.436332 rad |
| 50 ° | 0.872664 rad |
| 100 ° | 1.745329 rad |
| 200 ° | 3.490657 rad |
| 500 ° | 8.726643 rad |
| 1000 ° | 17.453286 rad |
How to convert degrees to radians
The °-to-rad conversion appears often when working with angle data across different unit systems. Angle conversions connect degrees (everyday use), radians (mathematics and physics), and gradians (used in some surveying applications).
Formula: Multiply the degrees value by 0.0174533. In equation form: rad = ° × 0.0174533.
One degrees equals approximately 0.017453 rad. This means you can multiply any ° value by 0.017453 to get the equivalent in rad.
For instance, converting 5 ° gives 0.087266 rad. Try different values using the quick-value chips or type directly into the input field.
Common mistake: When converting to radians for trigonometry, make sure your calculator is in the correct angle mode (degrees vs. radians).
Bookmark this page for quick ° to rad conversions, or use the swap button to reverse the direction and convert rad back to °.
Related conversions
Frequently asked questions
1 ° equals 0.017453 rad.
Multiply the degrees value by 0.0174533.
10 ° = 0.174533 rad.