Triangle $ABC$ is inscribed in a circle, such that $AC$ is the diameter of the circle and angle $BAC$ is

Triangle $ABC$ is inscribed in a circle, such that $AC$ is the diameter of the circle and angle $BAC$ is $45^{\circle}.$ If the area of triangle $ABC$ is $72$ square units, how much larger is the area of the circle than the area of triangle $ABC?$

A. $72\pi-72$
B. $72\pi-36$
C. $72\pi-18$
D. $72\pi-1$
E. $72\pi$

Answer: A

Source: Manhattan GMAT

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