How This Tool Works
Converting between degrees and radians relies on the fundamental relationship that a full circle, or 360 degrees, is equivalent to 2π radians. This converter uses the constant ratio 180° = π radians for instant, accurate results.
When you input an angle in degrees, the tool multiplies your value by π / 180 to determine its radian equivalent. When you enter a radian measurement, it multiplies by 180 / π to convert back to degrees.
This keeps simple angles such as 90° and larger rotations such as 720° consistent for academic, engineering, and scientific work.