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Junior Mathematical Olympiad

Netherlands geometry

Problem

A regular hexagon is filled with small circles of the same size, as illustrated in the figure. The circles can be tangent, but they do not overlap. Exactly four circles fit next to each other along the side of the hexagon. What is the maximum number of circles that fit in the hexagon in this way?
problem
A) 30 B) 37 C) 39 D) 41 E) 44
Solution
B) 37
Final answer
B

Techniques

Optimization in geometryRecursion, bijection