0580/12 Feb/Mar 2025, Question 24: 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
A circle of radius 7 cm and a square of side x cm have equal perimeter and circumference; find x in terms of π.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Circumference = 2π × 7 = 14π
- 2Perimeter of square = 4x
- 34x = 14π
- 4x = 14π/4 = 7π/2
Answer7π/2 or 3.5π
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