0580/12 May/Jun 2021, Question 25: Arc Length
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
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The question, in short
For a sector with centre O, radius 9 cm and angle 72°, find the arc length AB and the sector area.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Calculate the length of arc AB of the sector.
- 1Arc length = 72/360 × 2 × π × 9
- 2= 3.6π = 11.30… ≈ 11.3 cm
Answer11.3 or 11.305 to 11.312
Part (b) · 2 marks
Calculate the area of sector AOB.
- 1Area = 72/360 × π × 9²
- 2= 16.2π = 50.89… ≈ 50.9 cm²
Answer50.9 or 50.89 to 50.91
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Also searched as: 0580/12/M/J/21 · 0580_s21_qp_12 · 0580 s21 12 · question 25.
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