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2008 AMC 10A Problem 16

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2008 AMC 10A Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 3 of 5 · about 3 min · position P16-20

Points $A$ and $B$ lie on a circle centered at $O$ , and $\angle AOB = 60^\circ$ . A second circle is internally tangent to the first and tangent to both $\overline{OA}$ and $\overline{OB}$ . What is the ratio of the area of the smaller circle to that of the larger circle?

A)
$\frac{1}{16}$
B)
$\frac{1}{9}$
C)
$\frac{1}{8}$
D)
$\frac{1}{6}$
E)
$\frac{1}{4}$

2008 AMC 10A Problem 16

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