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2025 AMC 10A Problem 10

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2025 AMC 10A Problem 10AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 3 of 5 · about 4 min · position P1-10

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

What is the area of the resulting figure, shown shaded?

A)
$16\pi$
B)
$24\pi$
C)
$32\pi$
D)
$48\pi$
E)
$64\pi$

2025 AMC 10A Problem 10

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