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2010 AMC 10B Problem 20

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2010 AMC 10B Problem 20AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 4 of 5 · about 7 min · position P16-20

Two circles lie outside regular hexagon $ABCDEF$ . The first is tangent to $\overline{AB}$ , and the second is tangent to $\overline{DE}$ . Both are tangent to lines $BC$ and $FA$ . What is the ratio of the area of the second circle to that of the first circle?

A)
$18$
B)
$27$
C)
$36$
D)
$81$
E)
$108$

2010 AMC 10B Problem 20

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