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WAEC Mathematics 2007 Question 15

Question 15

Circle Theorems

A chord of length 6 cm is drawn in a circle of radius 5 cm. Find the distance of the chord from the centre of the circle.

  1. A.2.5 cm
  2. B.3.0 cm
  3. C.3.5 cm
  4. D.4.0 cm
Show the answer and explanation

Answer: D (4.0 cm)

Explanation

The perpendicular from the centre bisects the chord: d2 = 52 − 32 = 16, so d = 4 cm.