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Degree to Radian
Convert degree (°) to radian (rad) — with the exact factor, a quick-reference table and a free converter that works offline.
1 ° = 0.01745329 rad
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Conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.01745329 rad |
| 2 ° | 0.03490659 rad |
| 5 ° | 0.08726646 rad |
| 10 ° | 0.1745329 rad |
| 20 ° | 0.3490659 rad |
| 50 ° | 0.8726646 rad |
| 100 ° | 1.745329 rad |
| 500 ° | 8.726646 rad |
How the conversion works
Both units measure angle. One degree equals exactly 0.01745329 rad, so multiply by that factor to convert.
FAQ
How many radians in a degree?
1 ° = 0.01745329 rad.
How do I convert degree to radian?
Multiply the degree value by 0.01745329. For example, 10 ° × 0.01745329 = 0.1745329 rad.
Where does the factor come from?
The conversion factor is defined in BIPM SI Brochure; both units are angle units converted through degree.
Related conversions
Conversion factors: BIPM SI Brochure. Computed by the same engine that powers the app.
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