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Converters

Angle Converter

Convert angles between degrees, radians, turns and gradians.

Conversion factors explained belowNo live data needed

Value & units

Runs on your device

CONVERTED VALUE

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this converter

  1. Enter value, from, to.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Convert to the base unit, then divide by the target factor. One full turn is 360 degrees, 2π radians or 400 gradians.

A WORKED EXAMPLE

180 degrees = π radians = 0.5 turns.

What to keep in mind

Negative and multi-turn angles are preserved; the result is not normalized into a single rotation.

Common questions

Does it wrap 450 degrees to 90?

No. It preserves the full angle; 450 degrees equals 1.25 turns.

What is a radian?

An angle of one radian subtends an arc equal in length to the circle radius.

Methodology maintained by ClarityKit. How these tools are built and checked.