Angle Converter
Plane angle - degrees, radians, gradians.
Enter a value above to convert between ° and rad.
How to convert angle units
Angle is based on the degree. A full circle is 360° = 2π radians = 400 gradians. Radians relate by radians = degrees × π/180 and degrees = radians × 180/π, so one radian is about 57.29578°.
Worked example
Ninety degrees is 90 × π/180 = 1.5708 rad (π/2). One radian is 57.29578°. A right angle is 100 gradians, and a full turn is 360° = 400 gradians.
How many degrees are in a radian?
One radian equals 57.29577951°. A full turn equals 360° = 2π radians = 400 gradians. One gradian equals 0.9°, one arcminute is 1/60 of a degree, and one arcsecond is 1/3600 of a degree.
When you'll use an angle converter
Angle conversion is useful in math and trigonometry (degrees versus radians), engineering and CAD, surveying (gradians, arcminutes, arcseconds), and navigation. The table above lists your value in all 6 supported units at once.