Question

two concentric circles are of radii 5cm and 3cm.Find the length of the chord of the larger circle with touches the smaller circle.​

Answer 1

Answer:

8cm

Step-by-step explanation:

Let O be the centre of the concentric circle of radii 5 cm and 3 cm respectively. Let AB be a chord of the larger circle touching the smaller circle at P.  

Then,

AP=PB and OP⊥AB

Applying Pythagoras theorem in △OPA, we have

OA  ^2  =OP  ^2 +AP  ^2

 

⇒25=9+AP  ^2

⇒AP  ^2  =16

⇒AP=4 cm

∴AB=2AP=8 cm