Degree to Radian Converter
1 degree is about 0.01745329252 radians. Convert degrees (°) to radians (rad) below: type a value and the result updates as you type.
° to rad calculator
Result
Degree to Radian conversion
How to convert degrees to radians
To convert degrees to radians, multiply the number of degrees by about 0.01745329252.
Formula
rad = ° × 0.01745329252
The factor is rounded here. The calculator uses the exact value.
Examples
- 5 ° = 5 × 0.01745329252 ≈ 0.0872664626 rad
- 25 ° = 25 × 0.01745329252 ≈ 0.436332313 rad
- 100 ° = 100 × 0.01745329252 ≈ 1.745329252 rad
Degree to Radian conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 0.1 ° | 0.001745329252 rad |
| 0.5 ° | 0.00872664626 rad |
| 1 ° | 0.01745329252 rad |
| 2 ° | 0.03490658504 rad |
| 3 ° | 0.05235987756 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 25 ° | 0.436332313 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 250 ° | 4.36332313 rad |
| 500 ° | 8.72664626 rad |
| 1000 ° | 17.45329252 rad |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many radians are in one degree?
- One degree is about 0.01745329252 radians.
- How do I convert radians to degrees?
- To convert radians to degrees, multiply the number of radians by about 57.29577951. The formula is ° = rad × 57.29577951.
- Is this conversion exact?
- Yes. Both units have exact definitions, but the factor has more decimal places than can be shown, so displayed results are rounded. The calculator works with 50 significant digits before rounding.
- Which is larger, a degree or a radian?
- A radian is about 57.29577951 times larger than a degree. In other words, a degree is about 0.01745329252 of a radian.