0580/22 Oct/Nov 2024, Question 9: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
A square ABCD with area 72 cm² has all four vertices on a circle. Find the circle's area, giving the result as a multiple of π.
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Solution · 3 marks
- 1Side² = 72, and the diagonal is a diameter: d² = 72 + 72 = 144
- 2d = 12, so r = 6
- 3Area = π × 6² = 36π cm²
Answer36π
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