0580/23 Oct/Nov 2021, Question 19: Arc Length
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Calculate the perimeter of the shaded segment of a sector with centre O, radius 12.6 cm and angle 80°, bounded by a chord and the arc.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Chord = 2 × 12.6 × sin 40° = 16.198…
- 2Arc = 80/360 × 2 × π × 12.6 = 17.592…
- 3Perimeter = 16.198… + 17.592…
- 4= 33.8 cm
Answer33.8 or 33.78 to 33.80
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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 19.
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