Degree Radian Converter
Convert an angle between degrees and radians, in either direction.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter an angle and choose a direction to convert between degrees and radians.
Your result
3.142
Converted value
AI explanation
Formula
Radians = Degrees × π/180; Degrees = Radians × 180/πWorked example
180 degrees to radians
| Field | Value |
|---|---|
| Value | 180 |
| Convert | deg-to-rad |
| Converted value | 3.14159265 |
Assumptions
- A full circle is 360° or 2π radians.
Frequently asked questions
Why do radians use π?
A radian is defined as the angle subtended when the arc length equals the radius — since a full circle's circumference is 2π times the radius, a full circle is exactly 2π radians.
Which unit should I use in trigonometry calculations?
Most everyday and Indian-curriculum math uses degrees, but calculus and many scientific/ programming contexts use radians. Use the Trigonometry Calculator's unit selector for either.
What is 1 radian in degrees?
1 radian ≈ 57.2958°.