CBSEJEEClass 8

Is a circle a polygon?

Answer

No, a circle is not a polygon because a polygon is bounded by straight line segments, whereas a circle has a single curved boundary.

The working

What a polygon is

A polygon is a closed plane figure made up of a finite number of straight line segments called sides, such as a triangle or square.

Why a circle differs

A circle has no straight sides and no vertices. Its boundary is one continuous curve, so it fails the definition of a polygon.

Common confusion

A polygon with more and more sides looks closer to a circle, but a true circle is the limiting curve and is never itself a polygon.

Conclusion

Since polygons require straight edges and a circle has none, a circle is classified as a curved figure, not a polygon.

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