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2019 AMC 10B Problem 23

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2019 AMC 10B Problem 23AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 4 of 5 · about 8 min · position P21-25

Points $A(6,13)$ and $B(12,11)$ lie on circle $\omega$ in the plane. Suppose that the tangent lines to $\omega$ at $A$ and $B$ intersect at a point on the $x$ -axis. What is the area of $\omega$ ?

A)
$\frac{83\pi}{8}$
B)
$\frac{21\pi}{2}$
C)
$\frac{85\pi}{8}$
D)
$\frac{43\pi}{4}$
E)
$\frac{87\pi}{8}$

2019 AMC 10B Problem 23

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