4024/11 Oct/Nov 2024, Question 15: Area of a Sector
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
A sector with angle 60° has arc length 4π cm; find its area in terms of π, simplified.
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Solution · 4 marks
- 160/360 × 2πr = 4π
- 2πr/3 = 4π so r = 12
- 3Area = 60/360 × π × 12²
- 4= 24π cm²
Answer24π
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