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MathNet 2022-part-06 — 196 problems (EN–VI) Question 81

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 81

Let $ABCD$ be a rectangle with $AB = 8$ and $AD = 20$. Two circles of radius $5$ are drawn with centers in the interior of the rectangle: one tangent to $AB$ and $AD$, and the other passing through both $C$ and $D$. What is the area inside the rectangle and outside of both circles?