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2021 AMC 10B Problem 7

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2021 AMC 10B Problem 7AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 2 of 5 · about 3 min · position P1-10

In a plane, four circles with radii $1,3,5,$ and $7$ are tangent to line $\ell$ at the same point $A,$ but they may be on either side of $\ell$ . Region $S$ consists of all the points that lie inside exactly one of the four circles. What is the maximum possible area of region $S$ ?

A)
$24\pi$
B)
$32\pi$
C)
$64\pi$
D)
$65\pi$
E)
$84\pi$

2021 AMC 10B Problem 7

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