What this conversion means in practice
Degrees are human-friendly; radians make calculus clean. Switching ° to rad is the first step before differentiating rotations or using small-angle approximations.
The exact relationship here is 1 ° = 0.01745329252 rad, consistent with expressing both units relative to degrees (°).
How to convert degree to radian
Multiply the degree value by 0.01745329252 to get radian.
Example: 1 ° × 0.01745329252 = 0.01745329252 rad.
Degree and Radian
This focused page locks to the unit pair above so you can quote or audit one factor without scrolling the full dropdown list. For context on other rows, open the parent converter from the site navigation.
Degree to Radian conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 0.1 ° | 0.001745329252 rad |
| 1 ° | 0.01745329252 rad |
| 2 ° | 0.03490658504 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.174532925199 rad |
| 20 ° | 0.349065850399 rad |
| 50 ° | 0.872664625997 rad |
| 100 ° | 1.745329251994 rad |
Degree to Radian FAQ
Degrees to radians for STEM homework and shader math.
How do I convert ° to rad?
Multiply the value in ° by 0.01745329252 to obtain rad. That factor is the ratio of the two units in the same base system as the site’s full converter.
Is this factor the same as the main converter tool?
Yes. The numeric relationship uses the same unit definitions and base normalization as the corresponding converter on CalcRegistry.
Why might my hand calculation differ slightly?
Rounding after intermediate steps, display precision limits, or mixing alternate definitions (for example different “horsepower” variants) can shift the last digits. Use this page’s factor end-to-end for consistency.