N Gon Inscribed in Circle

An n-gon is a regular polygon with n sides. This figure demonstrates that an n gon becomes colser to a circle as its number of sides increases. This is because there are more, smaller sides, with bigger angles, in regular polygons of more sides. A circle is essentially an n-gon with infinity sides.

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Use the textbox to change n, the number of sides on the n-gon (note: only whole numbers will display properly). Values less than 3 will result in figures that are not regular polygons, by definition. Values of n greater than 12 will show 12 points of the figure, with angles and side lengths positioned as if n sides were present.

App generated by Geometry Expressions