degree to radian
Convert degree (°) to radian (rad). Use an editable angle converter, conversion formula, and reference table.
1 ° = 0.01745329252 rad
Conversion formula
One degree equals 0.01745329252 radian. Multiply your value in degree by this factor to get radian. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 degree:5 × 0.01745329252 = 0.0872664626 rad
Conversion table
| degree (°) | radian (rad) |
|---|---|
| 0.01 | 0.0001745329252 |
| 0.1 | 0.001745329252 |
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 100 | 1.745329252 |
| 1000 | 17.45329252 |
About these measurements
An angle describes rotation between directions.
The base reference used here is the radian. One degree is 0.01745329252 base units; one radian is 1 base units.
Important distinctions
A full turn is 360 degrees or 2π radians. Signed angles are permitted.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert ° to rad?
Multiply the quantity in ° by 0.01745329252. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the radian to degree converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
