Question

In adjoining fig AB=CD= 8cm, and OE=3cm. find OF Give reason,​

Answer 1

Step-by-step explanation:

Given o is the center of circle ,OM=3 cm and AB=8 cm

Join O to A and B

In figure OM show that the perpendicular from center O on cord AB

WE know that Perpendicular from the Center of a Circle to a Chord Bisects the Chord.

Then AM=BM

So AM=BM=

2

AB

=

2

8

=4cm

ΔAOM

(AO)

2

=(AM)

2

+(OM)

2

=(4)

2

+(3)

2

=16+9=25

⇒AO=5cm