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2010 AMC 8 Question 10

AMC8 · 2010 AMC 8

Question 10

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

Question illustration
  1. $ \ \dfrac 12 $
  2. $ \ \dfrac 23 $
  3. $ \ \dfrac 34 $
  4. $ \ \dfrac 56 $
  5. $ \ \dfrac 78 $