JAMB Mathematics 2011 Question 29

Question 29

Circle Theorems

A chord of a circle of radius 7 cm is 5 cm from the centre of the circle. What is the length of the chord?

  1. A.4√6 cm
  2. B.3√6 cm
  3. C.6√6 cm
  4. D.2√6 cm
Show the answer and explanation

Answer: A (4√6 cm)

Explanation

Half the chord = √(72 − 52) = √24 = 2√6, so the chord is 4√6 cm.