0580/31 May/Jun 2026, Question 17: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 4 marks
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The question, in short
A 32 cm by 18 cm rectangle contains an unshaded circle; the shaded region is 450 cm². Find the circle's radius.
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Solution · 4 marks
- 1Rectangle area = 18 × 32 = 576 cm²
- 2Circle area = 576 − 450 = 126 cm²
- 3πr² = 126, so r² = 126 ÷ π = 40.107…
- 4r = √40.107… = 6.33 cm
Answer6.33 or 6.332 to 6.333…
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