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MathNet 2019-part-04 — 184 problems (EN–VI) Question 53

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 53

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?
Question illustration
A) 30 B) 37 C) 39 D) 41 E) 44