Question 23Points $A=(6,13)$ and $B=(12,11)$ lie on a 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} $