Question

To the given figure AB and CD are two parallel chords of a circle with centre O and diamtre 10 cm such that AB=6cm and CD=8cm. If OP parallel to AB and OQ parallel to CD determine the length of PQ

Answer 1

Given OP⊥AB and OQ⊥CD

CQ = QD = 3 cm

AP = BP = 4cm

In △OPA

OP

2

=OA

2

–AP

2

=r

2

–4

2

=25–16=9

⟹OP=3

In △OCQ

OQ

2

=

r

2

–3

2

=4

PQ=OP+OQ=4+3=7cm