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It is an old convention where everything is perfect like a circle, and each year have 360 days (for some reason). The ancients decided to make the unit to measure angles using this system, defining the angle of a full rotation is the godly number 360, and then split down.

Now, a more useful and intuitive definition is given, called a radian measure. Where the radian measure of a full rotation as the circumference of the UNIT CIRCLE (circle with radius 1), which is 2 pi.

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