Convert Degrees (°) to Radians (rad)
How many Radians are in a single °? The answer is 0.017453 — and the calculator below handles any value you throw at it.
Formula
1 ° = 0.017453 rad
To convert ° to rad, divide the value by 57.29578.
Conversion Table
| Degrees (°) | Radians (rad) |
|---|---|
| 0.01 ° | 0.0002 rad |
| 0.1 ° | 0.0017 rad |
| 0.5 ° | 0.0087 rad |
| 1 ° | 0.0175 rad |
| 2 ° | 0.0349 rad |
| 3 ° | 0.0524 rad |
| 5 ° | 0.0873 rad |
| 10 ° | 0.1745 rad |
| 15 ° | 0.2618 rad |
| 20 ° | 0.3491 rad |
| 25 ° | 0.4363 rad |
| 50 ° | 0.8727 rad |
| 100 ° | 1.7453 rad |
| 250 ° | 4.3633 rad |
| 500 ° | 8.7266 rad |
| 1000 ° | 17.4533 rad |
| 2500 ° | 43.6332 rad |
| 5000 ° | 87.2665 rad |
| 10000 ° | 174.5329 rad |
| 50000 ° | 872.6646 rad |
Common ° to rad Examples
- 1 ° = 0.0175 rad
- 5 ° = 0.0873 rad
- 10 ° = 0.1745 rad
- 25 ° = 0.4363 rad
- 50 ° = 0.8727 rad
- 100 ° = 1.7453 rad
- 500 ° = 8.7266 rad
- 1000 ° = 17.4533 rad
Frequently Asked Questions
Confirm the input value, the unit direction (° to rad, not the reverse), and that the formula 1 ° = 0.017453 rad has been applied.
Compare them through the ratio: 1 ° equals 0.017453 rad, which shows directly which unit represents a larger amount of Angle.
Round 0.017453 to one or two significant digits and multiply mentally. Use the exact factor when accuracy matters.
The shortest route is the formula itself: 1 ° = 0.017453 rad. Memorizing this single line covers every case.
It comes from the official definitions of both Angle units, which are anchored to internationally agreed reference standards.
Yes. The same ratio 0.017453 applies to any value, whether it is a fraction or millions of °.