**Based on the geometric definition of a polygon, a circle has no sides or infinite sides.** According to the definition, a circle cannot have sides because it isn't made up of line segments that are connected by shared endpoints that form interior angles.

By definition, a circle is an arrangement of points positioned at an equal distance from a central point. A polygon is a closed shaped consisting of lines that all exist on the same plane and meet at vertices, or points. The second theory implies that a circle is an apeirogon, which is a special type of polygon that has an infinite number of sides formed where adjacent points meet.