4MA1/1H Jan 2022, Question 16: Arc Length
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Arc ABC of a circle with centre O has length 5 cm and angle AOC is 55°. Work out the circle's area, giving the answer to one decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Arc length: (55/360) × 2πr = 5
- 2r = 5 × 360 ÷ (110π) = 5.208…
- 3Area = π × 5.208…² = 85.2
Answer85.2
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