WAEC Mathematics 2019 Question 39

Question 39

Mensuration of Plane Shapes

In the diagram, O is the centre of the circle of radius 18 cm. If ∠ZXY = 70°, calculate the length of arc ZY. [Take π = 22/7]

Diagram for this question
  1. A.11 cm
  2. B.22 cm
  3. C.44 cm
  4. D.80 cm
Show the answer and explanation

Answer: C (44 cm)

Explanation

The angle at the centre is twice the angle at the circumference: ∠ZOY = 140°. Arc = (140/360) × 2 × (22/7) × 18 = 44 cm.