WAEC Mathematics 2020 Objective — Question 31
Question 31 of 50 from the West African Examinations Council (WAEC) Mathematics 2020 Objective paper, with the correct answer and a full explanation.
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The length of an arc of a circle of radius 3.5 cm is 1 19/36 cm. Calculate, correct to the nearest degree, the angle subtended by the arc at the centre of the circle. [Take pi = 22/7]
- A. 55 deg
- B. 36 deg
- C. 25 degCorrect
- D. 22 deg
Explanation
Arc length = (theta/360) x 2(pi)r. 1 19/36 = (theta/360) x 2 x (22/7) x 3.5, solving gives theta = (55x360)/(36x22) = 25 deg.
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