0580/12 Feb/Mar 2024, Question 19: Circumference and Area of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks
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The question, in short
Given a small circle of radius 7 cm and a large circle of radius R cm, use the fact that 16 small circles have the same total area as the large circle to calculate R.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 116 × π × 7² = π × R²
- 2R² = 16 × 49 = 784
- 3R = √784 = 28
Answer28
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