Angle Converters

Pick a family to convert between common plane angle units using exact definitions.

Available converter families

Common plane angle mirror pairs

Every direction below is a dedicated page so each conversion has a direct mirror link.

deg to rad rad to deg deg to grad grad to deg deg to turn turn to deg rad to grad grad to rad rad to turn turn to rad grad to turn turn to grad

Related by Same Conversion

Example related converter

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Converter Encyclopedia

Explanation

All angle factors here are derived through radians. Degrees map to pi/180 rad, gradians map to pi/200 rad, and turns map to 2*pi rad so every direction stays exact.

How to use this hub

  1. Choose a converter family.
  2. If converting to/from grams from a volume unit, select an ingredient.
  3. For pure unit changes (volume↔volume or weight↔weight), use universal conversions.

If your conversion includes grams, you’ll choose an ingredient; otherwise you won’t.

Frequently Asked Questions

Why are radians used in math and physics?

Radians simplify calculus and trigonometric formulas because they define angle directly from arc length divided by radius.

Why are gradians different from degrees?

Gradians divide a full turn into 400 units while degrees divide it into 360, so their step sizes are different.

How do I switch direction?

Use the switch button to navigate directly to the mirror page for the reverse conversion.