WAEC Mathematics 2013 Objective — Question 17
Question 17 of 50 from the West African Examinations Council (WAEC) Mathematics 2013 Objective paper, with the correct answer and a full explanation.
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A sector of a circle which subtends 172° at the centre of the circle has a perimeter of 600cm. Find, correct to the nearest cm, the radius of the circle. [Take π=22/7]
- A. 120cm
- B. 116cm
- C. 107cmCorrect
- D. 100cm
Explanation
Perimeter of sector = arc length + 2r. Arc length = (172/360)×2πr. 600 = (172/360)×2×(22/7)×r + 2r, solving gives r ≈ 107cm.
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