4024/12 May/Jun 2025, Question 23: Area of a Sector
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 5 marks
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The question, in short
Using OA = 9 cm, OC = 6 cm and minor arc AB = 5π cm, find the area of major sector OCD, giving the answer in terms of π.
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Solution · 5 marks
- 1Arc AB: θ/360 × 2π × 9 = 5π
- 2θ = 5 × 360 ÷ 18 = 100°
- 3Major sector angle = 360 − 100 = 260°
- 4Area = 260/360 × π × 6² = 26π cm²
Answer26π
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