How to Use the Radian-Degree Converter
The Radian-Degree Converter instantly converts angles between degrees and radians in both directions. A radian is the unit describing the central angle formed when the arc length equals the circle's radius, and it appears constantly in trigonometry, physics calculations like angular velocity, and higher math. This tool helps you move quickly between everyday degree notation and the radian values that formulas often require, without doing the conversion by hand.
Enter a value in degrees in the top field and the radian equivalent appears instantly, along with its value as a multiple of π (for example, 90° equals 0.5π). Enter a value in radians in the bottom field and the equivalent degree value appears right away. The two fields work independently, so you can convert in either direction freely. The formulas used are degrees × (π/180) for degrees to radians, and radians × (180/π) for radians to degrees.
Frequently Asked Questions
A radian is the angle formed when the arc length equals the radius of the circle. 180 degrees equals π radians.
Degrees to radians: degrees × (π/180). Radians to degrees: radians × (180/π).
Yes, the radian result is shown alongside its value as a multiple of π (e.g. 0.5π) for easier reading.