4MA1/2F Jan 2020, Question 27: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks
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The question, in short
Find the perimeter of the shaded shape ABCD, formed from semicircle ABC with diameter AC and right-angled triangle ACD, giving the answer to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1AC² = 17² − 15² = 289 − 225 = 64, so AC = 8 cm
- 2Semicircle arc = ½ × π × 8 = 12.566… cm
- 3Perimeter = 12.566… + 15 + 17 = 44.566…
- 4= 44.6 cm to 3 s.f.
Answer44.6
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