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A certain closed curve consists of n semicircles having the same radius of $$\frac{1}{n}$$ together with a larger semicircle having a radius of r. The n semicircles are aligned along the diameter of the larger semicircle as indicated in the figure for n=7. The area of the region enclosed by the curve, in terms of n, and r, is which of the following?

A.$$\frac{πr^{2}}{2}$$(1 - $$\frac{1}{n}$$)
B.$$\frac{πr^{2}}{2}$$(1 - $$\frac{2}{n}$$)
C.$$\frac{πr^{2}}{2}$$(1 - $$\frac{8}{n}$$)
D.$$\frac{πr^{2}}{2}$$(1 - $$\frac{1}{2n}$$)
E.$$\frac{πr^{2}}{2}$$(1 - $$\frac{1}{4n}$$)

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