Question 20Points $A(6,13)$ 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?$$\dfrac{83\pi}{8}$$\dfrac{21\pi}{2}$$\dfrac{85\pi}{8}$$\dfrac{43\pi}{4}$$\dfrac{87\pi}{8}$