Angle converter

Degrees, radians, gradians, turns, arcminutes and arcseconds. Type in either box and the other updates.

1 ° = 0.01745 rad

The same value in every unit

UnitValue
Degrees (°)1
Radians (rad)0.01745
Gradians (gon)1.1111
Turns (turn)0.002778
Arcminutes (′)60
Arcseconds (″)3,600

How it’s calculated

Angles are converted through radians. A full turn is 360 degrees or 2π radians, so 1 degree is π/180 radians. There are 60 arcminutes in a degree and 60 arcseconds in an arcminute.