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Angle Converter

Angle Converter

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This converter changes an angle value between degrees, radians, gradians, arcminutes, arcseconds, and turns using the selectors below.

Angles are measured in different units depending on the field — degrees in everyday and navigation contexts, radians in mathematics and physics, gradians in some surveying traditions, and arcminutes/arcseconds for very precise angles like those in astronomy.

This tool converts between all six directly.

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  • Key factors: 1 radian ≈ 57.2958°; 1 gradian = 0.9°; 1 arcminute = 1/60°; 1 arcsecond = 1/3600°; 1 turn = 360°.
  • Radians and π: a full circle is 2π radians, and 180° equals exactly π radians.
  • Fully flexible: change either dropdown to convert between any two of the six supported angle units.

How do I convert degrees to radians?

Multiply the degree value by π/180, or select "Degrees" as From and "Radians" as To in this converter.

What is a gradian used for?

Gradians divide a right angle into 100 units instead of 90, which some surveying and military instruments use for simpler decimal math.