The perimeter of a logo is created from two vertical straight edges, two small semicircles with horizontal diameters, and two large semicircles. Both the straight edges and the diameters of the small semicircles have a length of 2. The logo has rotational symmetry. What is the shaded area?
A. 4 B. 4 - π C. 8 D. 4 + π E. 12
D
The shaded area is a combination of a right-angled triangle and a semicircle, yielding the total area of 4 + π.
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