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A sphere has no plane surface.

But if we consider a infinitesimal small surface of sphere then we have a plane surface and this way we have infinite planes on the sphere.

Let us take the example of earth: earth is a large sphere and to human beings, so small as compared to earth, earth looks like a plane surface which is actually not reality.

The same case is with the circle, circle is a closed figure which has no sides but in other way it can be considered as a polygon of infinite sides.

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