0580/22 Feb/Mar 2023, Question 14: Arc Length
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Sector OPQ has centre O, radius 9 cm and chord PQ 6 cm. Calculate the arc length PQ.
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Solution · 3 marks
- 1Half the angle POQ: sin θ = 3/9, θ = 19.47…°
- 2Angle POQ = 2 × 19.47… = 38.94…°
- 3Arc PQ = 38.94…/360 × 2 × π × 9
- 4= 6.117… ≈ 6.12 cm
Answer6.12 or 6.116… to 6.118
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