0580/12 May/Jun 2025, Question 25: Circumference and Area of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks
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The question, in short
Find the perimeter of a shape formed by two concentric semicircles with radii 7 cm and 4 cm, giving the answer in terms of π.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Large arc = 1/2 × 2 × π × 7 = 7π
- 2Small arc = 1/2 × 2 × π × 4 = 4π
- 3Straight edges = 2 × (7 − 4) = 6
- 4Perimeter = 11π + 6 cm
Answer11π + 6
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