Convert Degree to Radian
Convert Degree to Radian instantly. 1 ° = 0.017453 rad. Formula, worked examples and a quick reference table.
Last updated
One degree equals 0.017453 radian. To convert any number of degrees to radians, multiply by 0.01745329.
The converter above works in both directions and updates as you type. Below you will find the formula, a worked example and a reference table of common values.
Degree to Radian formula
To go the other way, use degree = radian ÷ 0.01745329.
About these units
A radian is the angle at which the arc length equals the radius. A full circle is 2π radians, which is why radians are the natural unit in calculus.
Degree to Radian conversion table
| Degree | Radian |
|---|---|
| 1 ° | 0.0175 rad |
| 2 ° | 0.0349 rad |
| 3 ° | 0.0524 rad |
| 5 ° | 0.0873 rad |
| 10 ° | 0.1745 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 |
| 1,000 ° | 17.4533 rad |
Frequently asked questions
How many radians are in a degree? +
There are 0.017453 radians in one degree.
What is 10 ° in rad? +
10 ° equals 0.1745 rad. Multiply 10 by 0.01745329.
How do I convert radian back to degree? +
Use degree = radian ÷ 0.01745329. The converter above handles both directions, or see our dedicated Radian to Degree page.