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In the figure shown, seven small circles of equal diameter are located inside a large circle. Each of the six outer small circles is tangent to the small circle in the center, to two other adjacent small circles, and to the large circle. If the diameter of the large circle is D, then the sum of the areas of the unshaded regions inside the large circle is equal to which of the following?

A.$$\frac{πD^{2}}{36}$$
B.$$\frac{πD^{2}}{18}$$
C.$$\frac{πD^{2}}{9}$$
D.$$\frac{πD^{2}}{2}$$
E.$$\frac{7πD^{2}}{4}$$

B显示答案

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以上解析由考满分老师提供。

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