Convert Degree to Radian
1 degree equals 0.017453293 radians. Enter a value below to convert instantly.
Formula
Multiply the number of degrees by 0.0174532925199 to get radians.
Step by step
- Start with 1 °.
- Multiply by the conversion factor 0.0174532925199.
- 1 × 0.0174532925199 = 0.017453293 rad.
Degree to Radian conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | 0.017453293 |
| 5 | 0.087266463 |
| 10 | 0.17453293 |
| 30 | 0.52359878 |
| 45 | 0.78539816 |
| 60 | 1.0471976 |
| 90 | 1.5707963 |
| 180 | 3.1415927 |
| 360 | 6.2831853 |
About the degree
The degree (°) is a Other unit of angle.
About the radian
The radian (rad) is a SI unit of angle.
Where this conversion is used
Converting degrees to radians comes up when geometry, navigation, engineering drawings, and programming.
Need the other direction? Convert radian to degree →
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Frequently asked questions
How many radians are in a degree?
One degree equals 0.017453293 radians.
How do you convert degrees to radians?
Multiply the number of degrees by 0.0174532925199 to get radians.
What is 1 radian in degrees?
One radian equals 57.29578 degrees.
When would I convert degrees to radians?
This conversion is common when geometry, navigation, engineering drawings, and programming.
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.