WAEC Mathematics 2019 Objective — Question 29

Question 29 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

29. Find the angle which an arc of length 22cm subtends at the centre of a circle of radius 15cm. [Take π = 22/7]

A. 70°
B. 84°Correct
C. 96°
D. 156°

Explanation

l = (θ/360)×2πr ⇒ 22 = (θ/360)×2×(22/7)×15 ⇒ θ = (22×360×7)/(2×22×15) = 2520/30 = 84°.

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