Question

AB is a chord of a circle with Centre O .at B a tangent PB is drawn such that its length is 24 cm the distance of P from the centre is 26 CM if the chord AB is 16 cm .find its distance from the centre

Answer 1

According to question

Length of Chord    ab = 16 Cm
Length of tangent    bp = 24  Cm
and        op = 26 Cm

Thus
In the figure
if we draw a perpendicular from o on tangent bp to point y

we can say that

by = yp
Thus
yp = bp / 2
      = 24/2
       = 12 Cm
Thus in triangle oyp
op^2 = oy^2 + yp^2
Thus
oy^2 = 26^2 - 12^2
     oy    = 23 Cm