Can a Circle be a Polygon?


Can a Circle be a Polygon?


How many sides does a circle have?

A circle could have: 1 curved side! or infinite sides (each side being very small) or no sides.

If a side is defined as a straight line (no matter how small), then surely a circle has no sides. Because if we consider a very small side (straight) of the circle, then it can be halved. The distance from center to the midpoint will not equal to the distance from center to the two end points. But by the definition of circle it should be equidistant from the center. This contradict the statement that circles have straight sides. 

Note:  A polygon in geometry a polygon is a flat closed shape consisting of straight lines.



champalal's picture

so good for teaching about circle to students.

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