0580/23 May/Jun 2025, Question 20: Arc Length
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
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The question, in short
Find the length of the major arc AB of a circle with centre O, radius 6 cm and angle AOB = 40°, giving the answer in terms of π.
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Solution · 3 marks
- 1Major sector angle = 360 − 40 = 320°
- 2Major arc = 320/360 × 2 × π × 6
- 3= 8/9 × 12π = (32/3)π
Answer(32/3)π or 10 2/3 π
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