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2004 AMC 10B Problem 12

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2004 AMC 10B Problem 12AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 2 of 5 · about 2 min · position P11-15

An annulus is the region between two concentric circles. The concentric circles in the figure have radii $b$ and $c$ , with $b>c$ . Let $OX$ be a radius of the larger circle, let $XZ$ be tangent to the smaller circle at $Z$ , and let $OY$ be the radius of the larger circle that contains $Z$ . Let $a=XZ$ , $d=YZ$ , and $e=XY$ . What is the area of the annulus?

A)
$\pi a^2$
B)
$\pi b^2$
C)
$\pi c^2$
D)
$\pi d^2$
E)
$\pi e^2$

2004 AMC 10B Problem 12

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