Enter an angle in any unit to convert it to degrees, radians, gradians, and turns.
How to Use the Angle Unit Conversion Calculator
Pick the unit the value is currently in — Degrees, Radians, Gradians, or Turns — enter it, and the other three update together.
1 turn = 360° = 2π radians = 400 gradiansDegrees split a circle into 360 pieces for no deeper reason than ancient Babylonian base-60 counting; radians measure by arc length instead (a full circle is 2π radians because that's the circle's circumference divided by its radius); gradians split a right angle into a clean 100 units, a metric-era attempt at decimalizing angles that mostly survives today in surveying instruments. A turn — one full rotation — is the unit that makes converting between the other three the most intuitive, since every one of them is just some fraction of it.