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In the figure shown, seven small circles of equal diameter are located
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27 Jul 2025, 10:17
27 Jul 2025, 10:17
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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 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. $\(\pi \mathrm{D}^{\wedge} 2 / 36\)$
B. $\(\pi \mathrm{D}^{\wedge} 2 / 18\)$
C. $\(\pi \mathrm{D}^{\wedge} 2 / 9\)$
D. $\(\pi \mathrm{D}^{\wedge} 2 / 2\)$
E. $\(7 \pi \mathrm{D}^{\wedge} 2 / 4\)$
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gmatclubot
In the figure shown, seven small circles of equal diameter are located [#permalink]
27 Jul 2025, 10:17
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