4MA1/2HR Jun 2024, Question 13: Arc Length
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
A sector OAB has centre O, radius r cm and angle AOB = 60°. Its perimeter is P cm. Find P in terms of r, written as P = r(cπ + k), stating c and k.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 160/360 × 2πr = (1/6) × 2πr = (1/3)πr
- 2(1/3)πr + 2r
- 3P = r(1/3 π + 2)
AnswerP = r(1/3 π + 2)
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