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SMO 2016 Junior Round 1 Question 4

SMO · SMO 2016 Junior Round 1

Question 4

The diagram shows a square $ABCD$ inscribed in a semicircle with centre $O$ and another square $PQRS$ inscribed in the entire circle with the same centre. If the area of $ABCD$ is $16$, find the area of $PQRS$.

Question illustration
  1. $20$
  2. $24$
  3. $32$
  4. $40$
  5. $48$