The difficult part of the question is that the circle is really a 3D
object
ie it can be rotate about the x or y axis.

Do you mean rotate into the "z" axis?  X and Y are still just 2-D
spaces.

'rotating around the x-axis' is a perfectly reasonable statement for a 3D object: rotate something in the x-y plane by 90 degrees about the x-axis and it will end up in the x-z plane. Rotating around the z-axis would keep it in the same plane. You can't rotate a 2-d object about an axis at all, only a point.

Danny
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