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WAEC Mathematics 2016 Objective — Question 48

Question 48 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

48. In the diagram above, MN is a chord of a circle KMN centre O and radius 10cm. If ∠MON=140°, find, correct to the nearest cm, the length of the chord MN. A. 19cm B. 18cm C. 17cm D. 12cm

Diagram for question 48

A. 19cmCorrect
B. 18cm
C. 17cm
D. 12cm

Explanation

Length of chord = 2r·sin(θ/2) = 2×10×sin70° = 20×0.9397 ≈ 19cm.

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