4MA1/2FR Jan 2021, Question 12: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks
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The question, in short
Rectangle ABCD with AB = 12 cm has a semicircle on AB meeting DC at E; find the shaded area between rectangle and semicircle, to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1The semicircle touches DC, so the rectangle height = radius = 6 cm
- 2Rectangle area = 12 × 6 = 72 cm²
- 3Semicircle area = ½ × π × 6² = 56.54… cm²
- 4Shaded area = 72 − 56.54… = 15.45… = 15.5
Answer15.5
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