Degrees to Radians
Convert degrees to radians for trigonometry, geometry, programming, physics, and unit-circle angle checks.
How to convert degree to rad
To convert a value from degrees (degree) to radians (rad), enter the number in the converter above. Use the swap control if you need the reverse direction.
x is the source value in degree; y is the result in rad.
Popular conversions
Quick answers for common degree to rad values are available from the related conversion pages.
Use the related tools section for fixed-value conversions and the reverse direction.
Common conversion table
Quick reference table for common degree to rad values:
| degree | rad |
|---|---|
| 1 | 0.017453 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 50 | 0.872665 |
| 100 | 1.745329 |
| 1,000 | 17.453293 |
About degrees
Degree (degree) — A full circle is 360 degrees. One degree equals pi/180 radians.
Common uses: Degrees are used in geometry, navigation, surveying references, diagrams, maps, and everyday angle measurements.
About radians
Radian (rad) — A full circle is 2 pi radians, so pi radians equals 180 degrees.
Common uses: Radians are used in trigonometry, calculus, physics, programming math libraries, unit-circle work, and angular motion.
Frequently Asked Questions
Related Tools
Convert radians to degrees for trigonometry, geometry, programming, physics, and unit-circle angle checks.
Convert degrees to gradians for angle conversion, surveying references, decimal angle systems, and geometry checks.
Convert gradians to degrees for angle conversion, surveying references, decimal angle systems, and geometry checks.