Degree to Radian (° to rad)
Convert ° to rad — Angle converter
Also written as deg to rad.
One degree equals 0.01745329 rad, so to convert degrees to radians you multiply the value by 0.01745329. A degree is smaller than a radian — going the other way, 1 rad = 57.2958 °. For example, 10 ° = 0.17453286 rad and 50 ° = 0.87266431 rad.
0.01745329Click to copy
1 ° = 0.01745329 rad
Degree to Radian formula
1 Degree = 0.01745329 rad
Worked examples
- 25 ° = 0.43633216 rad
- 100 ° = 1.745329 rad
Degree to Radian conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 1 | 0.01745329 |
| 2 | 0.03490657 |
| 3 | 0.05235986 |
| 5 | 0.08726643 |
| 8 | 0.13962629 |
| 10 | 0.17453286 |
| 12 | 0.20943944 |
| 15 | 0.26179929 |
| 20 | 0.34906573 |
| 25 | 0.43633216 |
| 50 | 0.87266431 |
| 100 | 1.745329 |
| 250 | 4.363322 |
| 500 | 8.726643 |
| 1000 | 17.453286 |
Frequently asked questions
How many radians are in one degree?
One degree equals 0.01745329 radians (rad).
How many degrees are in one radian?
One radian equals 57.2958 degrees (°).
How do you convert degrees to radians?
1 Degree = 0.01745329 rad. Use the calculator above for any value.
What is 5 ° in rad?
5 ° = 0.08726643 rad.
What is 100 ° in rad?
100 ° = 1.745329 rad.
What is 10 ° in rad?
10 ° = 0.17453286 rad.
What is 20 ° in rad?
20 ° = 0.34906573 rad.
Is a degree bigger than a radian?
No. A degree is smaller — one degree equals 0.01745329 radians, while one radian equals 57.2958 degrees.