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WAEC Mathematics 2002 Question 29

Question 29

Circle Theorems

In the diagram O and O' are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO'|.

Diagram for this question
  1. A.8.46cm
  2. B.19.04cm
  3. C.20.81cm
  4. D.26.16cm
Show the answer and explanation

Answer: B (19.04cm)

Explanation

OO' cuts PQ at right angles at its midpoint, 6 cm from P. OO' = √(152 − 62) + √(82 − 62) = 13.75 + 5.29 ≈ 19.04 cm.