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IMAS 2022–2023 — Junior Division — Round 2 Question 4

IMAS · IMAS 2022–2023 — Junior Division — Round 2

Question 4

A circular pizza is sliced by using two perpendicular cuts, of lengths $16$ cm and $x+6$ cm, as shown in the diagram below. Alice ate the two white pieces and Bob ate the two shaded pieces. Who ate more pizza? What is the difference between their areas, in $\mathrm{cm}^2$?

Question illustration
  1. Alice, $16\pi\ \mathrm{cm}^2$
  2. Alice, $16\ \mathrm{cm}^2$
  3. Equal amount, $0\ \mathrm{cm}^2$
  4. Bob, $16\ \mathrm{cm}^2$
  5. Bob, $16\pi\ \mathrm{cm}^2$