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IMC 2004 Q12

IMCCurrent spec5 marksArea, Perimeter & Shape

12. This figure is made from a straight line 16 cm long and two quarter circles, one with its centre at the midpoint of the straight line. What is the area of the figure (in cm2)?

  1. A 64
  2. B \(16\pi\)
  3. C \(32 + 16\pi\)
  4. D \(32\pi\)
  5. E \(16 + 8\pi\)
A figure made from a straight line 16 cm long and two quarter circles, one curving up from the left end and one with its centre at the midpoint of the line

Intermediate Mathematical Challenge 2004, Question 12. © UK Mathematics Trust. Original paper on ukmt.org.uk

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