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1953 AMC 12 Question 15

AMC12 · 1953 AMC 12

Question 15

A circular piece of metal of maximum size is cut out of a square piece and then a square piece of maximum size is cut out of the circular piece. The total amount of metal wasted is:
  1. $\dfrac14$ the area of the original square
  2. $\dfrac12$ the area of the original
    square
  3. $\dfrac12$ the area of the circular piece
  4. $\dfrac14$ the area of the circular piece
  5. none of these