Convert between degrees, radians, gradians, turns, arcminutes, and arcseconds
Enter an angle value to see conversions
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Angle Converter is a free online tool that converts angular measurements between six units: degrees, radians, gradians (gon), turns, arcminutes, and arcseconds. This tool is essential for mathematics, engineering, surveying, astronomy, navigation, and any field that works with angular measurements. Degrees are the most familiar angle unit, dividing a full circle into 360 parts. Radians are the mathematical standard, with a full circle equaling 2 pi radians, making calculus formulas cleaner. Gradians divide the full circle into 400 parts, simplifying surveying calculations because a right angle is exactly 100 gradians. A turn simply represents one complete rotation. Arcminutes (1/60 of a degree) and arcseconds (1/60 of an arcminute or 1/3600 of a degree) provide precision for astronomy and geodesy. The relationship between degrees and radians is fundamental in mathematics: 180 degrees equals pi radians, and 1 radian is approximately 57.296 degrees. This conversion is needed constantly in trigonometry, physics, and programming where math functions typically expect radians as input. Enter any angle value to see all conversions simultaneously in your browser.
Key conversion factors: 1 full circle = 360 deg = 2*pi rad = 400 grad = 1 turn 1 degree = pi/180 rad = 0.01745 rad = 60 arcmin = 3600 arcsec 1 radian = 180/pi deg = 57.2958 deg 1 gradian = 0.9 deg = 0.01571 rad Examples: 90 deg = pi/2 rad = 1.5708 rad = 100 grad = 0.25 turn 45 deg = pi/4 rad = 0.7854 rad = 50 grad 180 deg = pi rad = 3.1416 rad = 200 grad = 0.5 turn