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Formula for the radii of inscribed circles of regular polygons

Lecture






  Formula for the radii of inscribed circles of regular polygons

Theorem.

Side a of a regular n-gon is related to the radius r of the inscribed circle by the formula

  Formula for the radii of inscribed circles of regular polygons

Evidence.

  Formula for the radii of inscribed circles of regular polygons

The theorem is proved.

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Planometry

Terms: Planometry