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0580/31 May/Jun 2025, Question 29: Composite Perimeter, Area and Volume

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks

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The question, in short

A shape combines a 16 cm by 9 cm rectangle with a semicircle of diameter 10 cm on its top edge; calculate the total perimeter.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1Straight edges = 16 + 9 + 9 + (16 − 10) = 40
  2. 2Semicircle arc = 1/2 × π × 10 = 15.707…
  3. 3Perimeter = 40 + 15.707… = 55.7 cm

Answer55.7 or 55.70 to 55.71

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