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IMAS 2022–2023 Junior Division — First Round Question 25

IMAS · IMAS 2022–2023 Junior Division — First Round

Question 25

The unit squares on a sheet of graphing paper have side length 1. Now, a circle of radius 100 is drawn on the sheet such that it does not pass through any vertex and is not tangent to any side of any square. At most how many unit squares can the circle intersect?