Geometry

   

Two Notes on Regular Polygons: Geometric Motivation of the π Constant

Authors: Irakli Dochviri, Ana Chokhonelidze

In the paper we prove that the ratio between the circumference of the incircle of the regularn-gon and its perimeter is equivalent to the ratio of their areas, respectively. These ratios are constantsfor regular n-gons. Also, it is shown that the ratio of circumference of the excircle and perimeter ofthe regular n-gon is not the same as the ratio of areas of the excircle and this regular n-gon.

Comments: 3 Pages.

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Submission history

[v1] 2023-02-22 04:24:29

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