JAMB Mathematics 1978 Question 49

Question 49

Circle Theorems

In a circle of radius 10cm, a cord of length 10cm is xcm from its centre where x is

  1. A.10√2
  2. B.5√3
  3. C.10√3
  4. D.5√2
  5. E.10.
Show the answer and explanation

Answer: B (5√3)

Explanation

The perpendicular from the centre bisects the chord, so x² = 10² − 5² = 75 and x = 5√3cm.