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CEMC Gauss (Grade 8), 2003

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $ABCD$ is a rectangle, and three circles are positioned as shown. The area of the shaded region, rounded to the nearest $\text{cm}^2$ , is

(A) $41$ (B) $43$ (C) $47$ (D) $36$ (E) $45$

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