WAEC Mathematics 2016 Question 48

Question 48

Circle Theorems

In the diagram, MN is a chord of a circle KMN centre O and radius 10 cm. If ∠MON = 140°, find correct to the nearest cm, the length of the chord MN.

Diagram for this question
  1. A.19 cm
  2. B.18cm
  3. C.17 cm
  4. D.12 cm
Show the answer and explanation

Answer: A (19 cm)

Explanation

MN = 2 × 10 × sin 70° ≈ 18.8 ≈ 19 cm.