A polygon is a plane that has a finite number of straight sides. Since a circle has an arced side, it's not considered a polygon.
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A shape is not considered a polygon. For example, a circle is not a polygon. So the question is based on a misunderstanding.
A circle is NOT a polygon, because a polygon is composed of straight line segments, and a polygon DOES NOT have rounded sides. BUT! I read this on the internet, that SOMETIMES a circle is considered a polygon with infinite number of sides.
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.
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.