In right-angled, isosceles triangle FGH,FH =\sqrt8. Arc FH is part of the circumference of a circle with center G and radius GH, as shown. The area of the shaded region is
Answer Choices
A. \pi-2
B. 4\pi-2
C. 4\pi-\frac12\sqrt8
D. 4\pi-4
E. \pi-\sqrt8