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jmc

geometry junior

Problem

Six pepperoni circles will exactly fit across the diameter of a -inch pizza when placed. If a total of circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered by pepperoni?
(A)
(B)
(C)
(D)
Solution
The pepperoni circles' diameter is , since . From that we see that the area of the circles of pepperoni is . The large pizza's area is . Therefore, the ratio is
Final answer
B