Question

In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB).

Answer 1

P is the centre of the circle.
AB = 13 cm
seg PQ ⊥ chord AB  ...[Given]
So, the length of l(QB) = `1/2` l(AB)   ...[Perpendicular drawn from the centre of the circle to the chord bisects the chord.]

l(QB) = `1/2 xx 13`   ...[∵ l(AB) = 13 cm]

l(QB) = 6.5 cm