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Angle Converter: Degrees, Radians, Gradians, and Turns

Different subjects measure angles in different units, and converting by hand invites slips. This converter shows all four at once.

What is the Angle Converter?

Enter an angle in degrees. The tool converts it to radians (degrees times pi over 180), gradians, and full turns. It is a unit conversion, so the same angle is shown four ways without any rounding beyond two decimals.

How to use it

  1. Enter an angle in degrees.
  2. Click Convert Angle.
  3. Read the radians, gradians, and turns.

Worked example

180 degrees equals about 3.14 radians, 200 gradians, and 0.5 turns.

How many radians is 180 degrees?

About 3.14 radians, since radians equal degrees times pi divided by 180.

Frequently asked questions

Why use radians?

Radians make calculus and physics formulas simpler, since they measure angle by arc length.

What is a gradian?

One gradian is 1/400 of a full turn, used mainly in surveying.

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