Question

PLEASE SOLVE STEP BY STEP
In the given figure, O is the centre of the circle of radius 6 cm. If PA and PB are two chords each of length 8 cm, then the length of chord AB is​

Answer 1

From O, draw OD⊥AB

AB=AP+PB=4+5=9cm

⇒ AD=4.5cm

In right △OAD,

OD=

OA

2

−AD

2

=

6

2

−4.5

2

=

36−20.25

=

15.75

PD=AD−AP=4.5−4=0.5cm

In right △OPD,

OP=

OD

2

+PD

2

=

15.75+0.5

2

=

15.75+0.25

=

16

=4cm

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