Question

In two concentric circles, a chord of length 16 cm of larger circle becomes a tangent to the smaller circle whose radius is 6 cm. Find the radius of the larger circle

Answer 1

Here AP = PB = 8 cm

In ∆OPA,

OA² = OP² + AP² 

= 6² + 8²

= 36 + 64

= 100

OA = `sqrt(100)` = 10 cm

Radius of the larger circle = 10 cm