WAEC Mathematics 2017 Objective — Question 14
Question 14 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.
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An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take π=22/7]
- A. A. 29°
- B. B. 57°Correct
- C. C. 65°
- D. D. 115°
Explanation
Length of arc = θ/360 x 2πr. 7.5 = θ/360 x 2 x 22/7 x 7.5. Solving: θ = (360x7)/(44) ≈ 57.27° ≈ 57°.
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