olymmath

HMMT November 2022 E6

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In a plane, equilateral triangle ABCA B C, square BCDEB C D E, and regular dodecagon DEFGHIJKLMNOD E F G H I J K L M N O each have side length 1 and do not overlap. Find the area of the circumcircle of △AFN\triangle A F N.

Dataset text NuminaMath olympiads. Quoted with source.

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(2+\sqrt{3}) \pi

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