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Angle Converter

Convert angles between degrees, radians, gradians and turns.

Use the tool

Enter your values below. Results are calculated in your browser.

About this Angle Converter

Angle Converter provides common angular unit conversions used in mathematics, engineering and programming.

Formula or method

All angles are normalized to radians using 360° = 2π radians = 400 gradians = 1 turn.

Example

180° = π radians = 200 gradians = 0.5 turn.

Common uses

  • Convert degrees to radians.
  • Translate gradians to degrees.
  • Express rotations as turns.

How to use this tool

  1. Enter the values or text requested by the calculator.
  2. Choose units or options when the tool provides them.
  3. Select the calculation button and review the result.
  4. Use the formula, example and notes on this page to check whether the result fits your situation.

Important note

Displayed decimals are rounded, so values involving π may not show every digit.

Frequently asked questions

How many radians are in a full turn?

A full turn is 2π radians.

Can angles be negative?

Yes. Negative angles are converted using the same proportional relationships.