What is the length of the perpendicular drawn from the centre

What is the length of the perpendicular drawn from the centre of circle of radius r on the chord of length √3r?

  1. r/4
  2. r/2
  3. √2r
  4. r

Answer

Perpendicular from centre bisects the chord. Use pythagoras theorem:

x2 = r2 - (√3r/2)2

x2 = r2/4

x = r/2

The correct option is B.