Angle Converter (Degrees to Radians)

Enter angle in degrees
Math

The Angle Converter changes an angle from degrees to radians. It multiplies the degree value by π/180, since a full 360° turn equals 2π radians. The formula used is: radians = degrees × (π ÷ 180).

Formula

Radians = Degrees × (π ÷ 180)
  • The Angle Converter updates instantly as you change the degree value.
  • Formula: radians = degrees × (π ÷ 180)
  • Input definitions: • Degrees: the angle to convert, in degrees
  • A full circle is 360° = 2π radians, so 180° = π and 90° = π/2.
  • The note line also expresses the result as a multiple of π for quick reference.
  • Practical tip: to go the other way, multiply radians by 180/π.

Example Calculation

Inputs
  • Degrees: 180

180° × (π ÷ 180) = π ≈ 3.141593 radians — exactly half a full turn.

Frequently asked questions

How do you convert degrees to radians?
Multiply the angle in degrees by π/180. For example, 90° × π/180 = π/2 ≈ 1.5708 radians.
Why are radians used?
Radians tie an angle directly to arc length on a unit circle, which simplifies calculus and many physics formulas.
What units should I enter?
Enter the angle in degrees. The result is shown in radians and as a multiple of π.
How do I convert radians back to degrees?
Multiply the radian value by 180/π.
How accurate are the results?
The conversion is exact; values are rounded only for display.