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A circle can be a polygon. Sometimes a circle can be a polygon that has infinite number of sides.
A polygon is a plane area bounded by straight lines. A circle consists of a curved line, not a straight line. Therefore a circle is not a polygon and conversely, no polygon can be a circle.
It means drawing a circle around a polygon in such that each vertex of the polygon is on the circumference of the circle.
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
Circle