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Australian AMC 2017 - Senior Question 19

AMC AUSTRALIA · Australian AMC 2017 - Senior

Question 19

Two circles of diameter 12 cm overlap, forming the shape shown with perimeter $14\pi$ cm. What is the area of the shape, in $\mathrm{cm}^2$?

Question illustration
  1. $42\pi+18$
  2. $42\pi+9\sqrt3$
  3. $72\pi-18$
  4. $72\pi-9\sqrt3$
  5. $24\pi\sqrt3$