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WAEC Mathematics 2014 Question 24

Question 24

Circle Theorems

A chord, 7 cm long, is drawn in a circle with radius 3.7 cm. Calculate the distance of the chord from the centre of the circle.

  1. A.0.7 cm
  2. B.1.2 cm
  3. C.2.0 cm
  4. D.2.5 cm
Show the answer and explanation

Answer: B (1.2 cm)

Explanation

Half the chord is 3.5 cm. Distance = √(3.72 − 3.52) = √1.44 = 1.2 cm.