Question

chord of larger circle is 24 then tangent of smaller circle find radius of smaller circle​

Answer 1

Answer:

Let O be the centre of concentric circles and APB be the chord of length 24 cm, of the larger circle touching the smaller circle at P. 

Then, OP⊥AB and P is the mid-point of AB.

∴AP=PB=12 cm

In △OPA, we have

OA2=OP2+AP2                    [by pythagorus theorem]

⇒OA2=52+122=169

⇒OA=13 cm

Hence, the radius of the smaller circle is 13 cm.