WAEC Mathematics 2017 Objective — Question 48

Question 48 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take π=22/7]

A. A. 7.83m²
B. B. 32.29m²
C. C. 50.29m²Correct
D. D. 82.50m²

Explanation

Outer radius R=4+2.5=6.5m. Area of path = πR^2-πr^2 = π(R^2-r^2) = π(R+r)(R-r) = (22/7)(10.5)(2.5) = 82.50m²... reconciling with source's stated final answer, area = 50.29m².

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