Degrees to Radians Calculator

Convert degrees to radians, reduce the exact π fraction and see a decimal radian approximation with calculation steps.

Convert degrees to exact radians in terms of pi

Enter an angle in degrees to get both its exact radian value as a reduced multiple of π and its decimal approximation.

The steps show the π/180 conversion factor and the reduced coefficient.

Learn the concept

Try these examples

  • 30
  • 45
  • 60

Quick reference

  • Radians = degrees × π / 180.
  • A full turn is 360° = 2π radians.
  • A straight angle is 180° = π radians.

FAQ

How do I convert degrees to radians?

Multiply the degree value by π/180 and reduce the numerical fraction.

What is 45 degrees in radians?

45° = π/4 radians, approximately 0.785398.

Sources and review

Last reviewed:

Related calculators