AMC 8 2010 Problem 10

AMC8 2010 年第 10 题

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Six pepperoni circles will exactly fit across the diameter of a 12 -inch pizza when placed. If a total of 24 circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered by pepperoni?

当把 6 个意大利香肠圈放在一个 12 英寸的比萨饼上时，正好可以穿过比萨饼的直径。若把 24 个意大利香肠圈没有重叠的放在这块比萨饼上，那么整块比萨饼被意大利香肠圈覆盖的比例是多少？

A. $\displaystyle \frac 12$
B. $\displaystyle \frac 23$
C. $\displaystyle \frac 34$
D. $\displaystyle \frac 56$
E. $\displaystyle \frac 78$

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