MathDB
2020 PUMaC Team 9

Source:

January 1, 2022
combinatorics

Problem Statement

Consider a regular 20202020-gon circumscribed into a circle of radius 1 1. Given three vertices of this polygon such that they form an isosceles triangle, let XX be the expected area of the isosceles triangle they create. XX can be written as 1mtan⁡((2π)/n)\frac{1}{m \tan((2\pi)/n)} where mm and nn are integers. Compute m+nm + n.
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