passwella.
Menu

WAEC Mathematics 2026 Question 36

Question 36

Circle Theorems

In the diagram, O is the centre of the circle. |OX| = 5 cm, |OZ| = 3 cm and ∠XOZ = ∠YOZ. Find |XY|

Diagram for this question
  1. A.5 cm
  2. B.4 cm
  3. C.3 cm
  4. D.8 cm
Show the answer and explanation

Answer: D (8 cm)

Explanation

OZ bisects the chord at right angles, so XZ = √(5² − 3²) = 4 cm and XY = 8 cm.