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AMO 2016 Secondary 1 (Grade 7) Question 24

AMO · AMO 2016 Secondary 1 (Grade 7)

Question 24

The shaded region lies inside right triangle $ABC$ and outside the three sectors formed by arcs of radius 4 centered at the three vertices. The side lengths of $ABC$ are 9, 12, and 15. If the shaded area is $P-Q\pi$, find the integer value of $P-Q$.

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