Question

there are two concentric circle. A chord of length 10cm of the larger circle touches the smaller circle. if radius of the smaller circle is 12 CM. find the radius of the larger circle.​

Answer 1

Answer:

Draw a figure based on given instructions:

AC = CB= 10/2 = 5cm

OC= 12cm

AB is the tangent and OC is the radius

OC⊥AB

From right ΔOCA,

By Pythagoras Theorem:

OA^2 = OC^2 + AC^2

OA^2 = 12^2 + 5^2

OA^2 = 144+ 25

OA^2= 169

OA = √169 = 13cm

Therefore, Radius of larger circle is 13cm