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.

Features

  • Integer, decimal and fractional degree input.
  • Exact reduced result containing π.
  • Decimal radian approximation.
  • Visible conversion and fraction-reduction steps.

Example expressions

  • 30
  • 45
  • 60
  • 90
  • 180
  • 270

Related formulas

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

How to use this calculator

  1. Enter the degree value without needing to type the degree symbol.
  2. Choose Calculate to multiply by π/180.
  3. Read the reduced exact result and decimal approximation.

Common input mistakes

  • Do not multiply by 180/π; that formula converts in the opposite direction.
  • Keep π in the exact result instead of replacing it too early with 3.14.
  • Negative degree values are valid and represent clockwise angles.

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.

Can I enter decimal degrees?

Yes. Decimal and fractional degree values are supported.

Why keep π in the result?

The π form is exact, while a decimal radian value is an approximation.

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