Degrees to radians – convert deg to rad
Convert degrees to radians (deg to rad) for trigonometry, physics, engineering and programming libraries that expect angles in radians. This page opens the main angle converter with deg → rad pre-selected.
Open the interactive deg → rad converter:
Use main converter (deg → rad) or switch to rad → degOn the homepage you can also switch between degrees, radians, gradians and full turns using the same angle tool.
Quick reference: degrees to radians
The exact formula is:
radians = degrees × π / 180
| Degrees (°) | Radians (approx.) |
|---|---|
| 30° | 0.524 rad (π/6) |
| 45° | 0.785 rad (π/4) |
| 60° | 1.047 rad (π/3) |
| 90° | 1.571 rad (π/2) |
| 180° | 3.142 rad (π) |
| 360° | 6.283 rad (2π) |
Why convert degrees to radians?
Typical reasons to convert ° to rad:
- Using trig functions in programming languages that expect radians.
- Working through maths or physics questions that define angles in radians.
- Comparing angular speeds or phase shifts in engineering work.
- Switching between “everyday” degree angles and more formal radian values.
More angle converters on this site
The angle converter uses radians as its internal base, so degrees, gradians and turns are all kept consistent with one another.
Last updated: 3 December 2025.