CEMC Pascal, 2001

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, $AB$ and $BD$ are radii of a circle with centre $B$ . The area of sector $ABD$ is $2\pi$ , which is one-eighth of the area of the circle. The area of the shaded region is

(A) $2\pi - 4$ (B) $\pi$ (C) $2\pi - 2$ (D) $2\pi - 4.5$ (E) $2\pi - 8$

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