Do Circles Have Infinite Sides?

If you think of it as a curve, then it has an inside and an outside. If you think of it as the limit of an n-sided regular polygon

regular polygon
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). times the apothem (radius of the inscribed circle). All internal angles are 120 degrees.
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, then one can justify the answer that the circle has infinitely many infinitesimal sides.

Does a circle have 0 or infinite sides?

Why does a circle have 0 sides? Although a circle is a shape, it is not a polygon, so it does not have sides. If that isn't convincing, consider process of elimination – it can't have one side, because by definition sides are (straight) line segments.

Is the circle infinite?

The circle is the symbol for infinity, because the circle is endless, and may be considered a polygon with an infinite number of sides. The snake or dragon with its tail in its mouth continually devouring itself and being reborn from itself is a symbol of eternity and of the cyclic nature of the universe.

Alexander Ross

Alexander Ross

Gaming, Esports & Interactive Media Writer

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.