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WAEC Mathematics 2024 Question 23

Question 23

Circle Theorems

In the diagram, O is the centre of the circle. If |OA| = 25 cm and |AB| = 40 cm, find |OH|.

Diagram for this question
  1. A.15 cm
  2. B.20 cm
  3. C.25 cm
  4. D.30 cm
Show the answer and explanation

Answer: A (15 cm)

Explanation

The perpendicular from the centre bisects the chord, so AH = 20 cm. OH = √(25² − 20²) = √225 = 15 cm.