Degree to Radians Calculator

Radian:
Angle[ o ]：

What is an Angle Conversion Calculator?

An Angle Conversion Calculator is a tool that converts angles between different measurement units, such as:

  • Degrees (°)
  • Radians (rad)
  • Gradians (grad)
  • Turns (full revolutions)

Why Use an Angle Conversion Calculator?

  • Different fields use different angle units:
    • Math and navigation use degrees.
    • Physics and engineering use radians.
    • Surveying and some European applications use gradians.
    • Robotics and animation may use turns.
  • Saves time compared to manual calculations.
  • Reduces errors when converting between units.

How Does It Work?

The calculator applies these formulas:

  1. Degrees to Radians: radians=degrees × π/180
  2. Degrees to Gradians: gradians=degrees × 10/9
  3. Degrees to Turns (Revolutions): turns=degrees÷360
  4. Reverse conversions use the inverse of these formulas.

When Is It Used?

  • Mathematics: Trigonometry, geometry, and calculus.
  • Physics & Engineering: Rotational motion, wave mechanics.
  • Surveying & Navigation: Using gradians for measurements.
  • Computer Graphics & Animation: Handling rotations in different formats.