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WAEC Mathematics 1998 Question 31

Question 31

Circle Theorems

A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord

  1. A.16cm
  2. B.27.86cm
  3. C.32cm
  4. D.48cm
  5. E.55.72cm.
Show the answer and explanation

Answer: D (48cm)

Explanation

Half the chord = √(262 − 102) = √576 = 24 cm, so the chord is 48 cm.