Question

GALA MODEL YUD
32
33.out of two concentric circles,the radius of the outer circle is 25 cm and the chord of length 48cm is a tangent to the inner circle find the radius of inner circle ​

Answer 1

Answer:

According to question,

Radius of larger circle is 5cm

and length of tangent AC to smaller circle is 8cm.

We know that , tangent is perpendicular to radius through point of tangency,

And M, is the mid point of tangent from figure,

so AM=4cm

Therefore ,

△AMO is the right angle triangle, with OM as radius of smaller circle,

So, from pythagorous theorem,

OA

2

=OM

2

+AM

2

=> 5

2

=OM

2

+4

2

=> OM=3