A Circle in an Equiangular Hexagon

★ 8/10plane geometry Extrema Tangent Circle

Problem

Let $ABCDEF$ be a hexagon whose interior angles are all equal, with $AB=6$ , $BC=8$ , $CD=10$ , $DE=12$ . Let $d$ be the diameter of the largest circle contained in the hexagon. Find $d^2$ .

Answer

Solution

Difficulty	8/10
Topics	plane geometry, Extrema, Tangent Circle

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