MathDB
2010 AMC 8 #10

Source:

May 21, 2011
geometry

Problem Statement

66 pepperoni circles will exactly fit across the diameter of a 1212-inch pizza when placed. If a total of 2424 circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered with pepperoni?
<spanclass=′latex−bold′>(A)</span> 12<spanclass=′latex−bold′>(B)</span> 23<spanclass=′latex−bold′>(C)</span> 34<spanclass=′latex−bold′>(D)</span> 56<spanclass=′latex−bold′>(E)</span> 78 <span class='latex-bold'>(A)</span>\ \frac 12 \qquad<span class='latex-bold'>(B)</span>\ \frac 23 \qquad<span class='latex-bold'>(C)</span>\ \frac 34 \qquad<span class='latex-bold'>(D)</span>\ \frac 56 \qquad<span class='latex-bold'>(E)</span>\ \frac 78
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