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MathNet 2003 — Part 03 Question 24

Math Olympiad Vault · MathNet 2003 — Part 03

Question 24

A room is built in the shape of the region between two semicircles with the same center and parallel diameters. The farthest distance between two points with a clear line of sight is $12$ m. What is the area (in $\mathrm{m}^{2}$) of the room?