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
What should I check before trusting a ° to rad result?
Confirm the input value, the unit direction (° to rad, not the reverse), and that the formula 1 ° = 0.017453 rad has been applied.
How do ° and rad compare in size?
Compare them through the ratio: 1 ° equals 0.017453 rad, which shows directly which unit represents a larger amount of Angle.
What is a quick way to estimate ° to rad?
Round 0.017453 to one or two significant digits and multiply mentally. Use the exact factor when accuracy matters.
Is there a shortcut for converting ° to rad?
The shortest route is the formula itself: 1 ° = 0.017453 rad. Memorizing this single line covers every case.
Why is the conversion factor between ° and rad 0.017453?
It comes from the official definitions of both Angle units, which are anchored to internationally agreed reference standards.
Can I convert large numbers of ° to rad at once?
Yes. The same ratio 0.017453 applies to any value, whether it is a fraction or millions of °.