PUMaC 2024 · 团队赛 · 第 6 题

PUMaC 2024 — Team Round — Problem 6

Ben has a square of side length 2. He wants to put a circle and equilateral triangle inside the square such that the circle and equilateral triangle do not overlap. The maximum possible √ √ aπ + b c + d e sum of the areas of the circle and triangle is , where a, c, e, f are positive integers, f b and d are integers, c and e are square-free, and gcd( a, b, d, f ) = 1. Find a + b + c + d + e + f . 1

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