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WAEC Mathematics 2018 Theory — Question 5

Question 5 of 23 from the West African Examinations Council (WAEC) Mathematics 2018 Theory paper, with the correct answer and a full explanation.

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3.(a) The diagram above shows an athletics track with two parallel sides and two semi-circular ends. Each of the parallel sides is 60 metres long and the diameter of each semi-circular end is 120 metres long. Calculate the distance covered by an athlete who runs the track two times. [Take π = 22/7]

Model answer

Perimeter = 2(60) + π(120) = 120 + (22/7×120) = 120+377.14 = 497.14m. Running the track twice: 2×497.14 ≈ 994.3m.

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