How to convert degrees to radians
To convert degrees to radians, multiply by 0.0174532925199. Angle conversions are used in trigonometry, programming, surveying, navigation and engineering.
Degree to Radian conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 0.1 ° | 0.00174532925199 rad |
| 0.5 ° | 0.00872664625997 rad |
| 1 ° | 0.0174532925199 rad |
| 2 ° | 0.0349065850399 rad |
| 3 ° | 0.0523598775598 rad |
| 4 ° | 0.0698131700798 rad |
| 5 ° | 0.0872664625997 rad |
| 10 ° | 0.174532925199 rad |
| 20 ° | 0.349065850399 rad |
| 25 ° | 0.436332312999 rad |
| 50 ° | 0.872664625997 rad |
| 100 ° | 1.74532925199 rad |
| 500 ° | 8.72664625997 rad |
| 1,000 ° | 17.4532925199 rad |
About the units
Degree (°)
A degree is 1/360 of a full rotation.
Radian (rad)
A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians.
How to use this converter
- Type the number of degrees (°) in the input box.
- The result in radians appears instantly — no button needed.
- See the same value in every other angle unit just below.
- Use “Swap units” to convert radians back to degrees.
Tips for better results
- Double-check which system a unit belongs to (for example US vs UK gallons).
- Use the swap button to convert in the opposite direction instantly.
- Bookmark the conversions you use most — each pair has its own page.
Frequently asked questions
How many radians are in one degree?
One degree equals 0.0174532925199 radians. 0.0174532925199 is the exact factor used by this converter.
How do I convert degrees to radians?
Multiply the value in degrees by 0.0174532925199. To go the other way, multiply radians by 57.2957795131.
What is 10 ° in rad?
10 ° = 0.174532925199 rad. Also, 5 ° = 0.0872664625997 rad and 100 ° = 1.74532925199 rad.
What is the difference between a degree and a radian?
A degree is 1/360 of a full rotation. A radian is the angle subtended by an arc equal to the radius; a full turn is 2π radians.
Is this tool free and private?
Yes — the Degree to Radian is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.
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