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Angle Converter

Convert between 6 angle units: degrees, radians, gradians, turns, arcminutes and arcseconds, with live results and the exact factor shown.

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How angle conversion works

All units convert through radians, the SI unit. Each unit has one fixed factor (1 degree = pi/180 radians), so any pair converts in a single step.

Degrees, gradians and turns

Degrees split a circle into 360 parts; gradians split it into 400 (100 gradians = a right angle), used in some surveying; turns measure full rotations, handy for motors and animation.

Angle Converter FAQs

How many radians in a degree?
pi/180 = 0.0174533 radians.
How many degrees in a radian?
180/pi = 57.2958 degrees.
What is a gradian?
1/400 of a full circle. 100 gradians = 90 degrees (a right angle).
How many arcminutes in a degree?
60 arcminutes; 60 arcseconds per arcminute.
What is a turn?
One full rotation: 360 degrees or 2pi radians.
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