JAMB Mathematics 2009 Question 28

Question 28

Circle Theorems

A chord is drawn 5 cm away from the centre of a circle of radius 13 cm. Calculate the length of a chord.

  1. A.7cm
  2. B.9cm
  3. C.12cm
  4. D.24cm
Show the answer and explanation

Answer: D (24cm)

Explanation

Half the chord = √(132 − 52) = √144 = 12cm, so the chord is 24cm.