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PK 2018 Q11

PKCurrent spec5 marksArea, Perimeter & Shape

11. Eight congruent semicircles are drawn inside a square of side-length 4. Each semicircle begins at a vertex of the square and ends at a midpoint of an edge of the square. What is the area of the non-shaded part of the square?

  1. A \(2\pi\)
  2. B \(3\pi + 2\)
  3. C 8
  4. D \(6 + \pi\)
  5. E \(3\pi\)
A square with eight semicircles drawn inside it, each from a vertex to the midpoint of an edge; the region outside the semicircles is shaded

Pink Kangaroo 2018, Question 11. © UK Mathematics Trust. Original paper on ukmt.org.uk

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