4MA1/2FR Jan 2022, Question 26: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks
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The question, in short
Find the total length of the path AFEDC, made of triangle side AC portions and a semicircular arc of radius 3 cm, giving the answer to 2 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1AC = 24 ÷ cos 30° = 27.71…
- 2Semicircle arc = ½ × 2 × π × 3 = 9.42…
- 3AFEDC = AC − diameter DF + arc
- 427.71 − 6 + 9.42 = 31.1… = 31 (2 s.f.)
Answer31
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