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WAEC Mathematics 1997 Question 38

Question 38

Circle Theorems

A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord

  1. A.16cm
  2. B.18cm
  3. C.24cm
  4. D.25.51cm
  5. E.51.1cm.
Show the answer and explanation

Answer: C (24cm)

Explanation

Radius = 13 cm. Half the chord = √(132 − 52) = 12 cm, so the chord is 24 cm.