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WAEC Mathematics 2025 Theory — Question 10

Question 10 of 19 from the West African Examinations Council (WAEC) Mathematics 2025 Theory paper, with the correct answer and a full explanation.

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9(b). A sector of a circle of radius 6 cm subtends an angle of 105° at the centre. Calculate the: (i) perimeter; (ii) area of the sector. [Take π = 22/7]

Model answer

(i) Perimeter = (θ/360)×2πR + 2R = (105/360)×2×(22/7)×6 + 2×6 = 11 + 12 = 23 cm (ii) Area = (θ/360) × πR² = (105/360) × (22/7) × 36 = 33 cm²

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