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0580/12 Feb/Mar 2021, Question 21: Composite Perimeter, Area and Volume

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Find the total area of a shape combining quarter-circle OAB of radius 5 cm and right-angled triangle OBC with OC = 6 cm.

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

Solution · 3 marks

  1. 1Quarter-circle area = 1/4 × π × 5² = 19.63…
  2. 2Triangle area = 1/2 × 5 × 6 = 15
  3. 3Total area = 19.63… + 15 = 34.63… ≈ 34.6 cm²

Answer34.6 or 34.63 to 34.64

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