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Angle converter

Type a number to convert instantly and see every unit in the table below.

Popular conversions

1 ° in other units

ValueEqualsUnit
1 °0.01745329 radradian
1 °1.111111 gongradian (gon)
1 °60 ′arcminute
1 °3,600 ″arcsecond
1 °0.002777778 turnturn

Other converters

Degrees and radians

A full turn is 360° = 2π radians, so radians = degrees × π/180 and degrees = radians × 180/π. Trig functions in Excel, JavaScript and Python expect radians, so convert before you call them.

  • 90° = π/2 ≈ 1.5708 rad
  • 1° = 60′ (arcminutes) = 3,600″ (arcseconds)
  • 100 gradians (gon) = 90°