Answer :

Think of a full rotation as 4 right angles. By that logic a full rotation would be 90x4. That is equal to 360. So, a full rotation is 360 degrees.
AL2006
We call a full circle or a full rotation 360 degrees.  There's nothing magic
or mathematical about that number.  It was invented by people.  It could
have been any number they wanted. 

But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !

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