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1973 AMC 12 Question 25

AMC12 · 1973 AMC 12

Question 25

A circular grass plot $12$ feet in diameter is cut by a straight gravel path $3$ feet wide, one edge of which passes through the center of the plot. The number of square feet in the remaining grass area is
  1. $36\pi-34$
  2. $30\pi-15$
  3. $36\pi-33$
  4. $35\pi-9\sqrt3$
  5. $30\pi-9\sqrt3$