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MathNet 2024-part-06 — 165 problems (EN–VI) Question 29

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 29

Sasha wants to bake 6 cookies in his $8$ inch $\times$ $8$ inch square baking sheet. With a cookie cutter, he cuts out from the dough six circular shapes, each exactly $3$ inches in diameter. Can he place these six dough shapes on the baking sheet without the shapes touching each other? If yes, show us how. If no, explain why not. (Assume that the dough does not expand during baking.)