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The set of integers is not closed under multiplication and so is not a field.
360/11 ie just under 33 degrees
low
It depends on your field of expertise and specialization in your field. If you are under the sciences, then it likely that you must know it since knowledge about calculus is required in higher mathematics used in the field. If, say, your field is Psychology, most likely it is uneeded.
A circle could be considered to have "no sides" in theory, however under this definition it is not a polygon. Also, a circle could be considered to have infinite sides. You could consider a point to be a no-sided polygon, but it's a stretch.