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