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2025 AMC 10A Question 10

AMC10 · 2025 AMC 10A

Question 10

A semicircle has diameter $AB$ and chord $CD$ of length $16$ parallel to $AB.$ A smaller semicircle with diameter on $AB$ and tangent to $CD$ is cut from the larger semicircle, as shown below.

Question illustration

What is the area of the resulting figure, shown shaded?
  1. $16\pi$
  2. $24\pi$
  3. $32\pi$
  4. $48\pi$
  5. $64\pi$