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0580/23 May/Jun 2026, Question 23: Area of a Sector

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks

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The question, in short

A circle has radius 6 cm and a minor sector with central angle 50°. Work out the area of the major sector, giving the result as a simplified multiple of π.

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

Solution · 3 marks

  1. 1Major sector angle = 360 − 50 = 310°
  2. 2Area = 310/360 × π × 6²
  3. 3= 310/360 × 36π = 31π cm²

Answer31π

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