In a sense it's entirely arbitrary, but 360 has the advantage that it can be divided by so many different numbers (technically it has a lot of factors).
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It is a complete circle which consist of 360 degrees
A full rotation is a 360 degree rotation. A full circle is 360 degrees.
360 of them are, by definition.
It depends on the length of the arc because there are a total of 360 degrees in a complete circle.
Because there are 360 degrees around a circle and a complete rotation of an angle is also 360 degrees