4MA1/1F Jun 2019, Question 23: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Find the total area of a shape combining a right-angled triangle with legs BA = BC = 6 cm and a semicircle on diameter AC, giving the answer to 1 decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Triangle area = ½ × 6 × 6 = 18 cm²
- 2AC = √(6² + 6²) = √72, so the radius is √72 ÷ 2 = 4.242…
- 3Semicircle area = ½ × π × 4.242…² = 28.27… cm²
- 4Total = 18 + 28.27… = 46.27…, which is 46.3
Answer46.3
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