Question

A square is inscribed in a circle of radius ‘a’. Another circle is inscribed in that square and again a square is inscribed in this circle. The side of this square is:-

(1) 2a 

(2) a / 2

(3) a / √2

(4) a

Answer 1

Correct option is  (4) a

Diagonal of outer square = 2a 

⇒ Side of outer square = √2a 

Diameter of inner circle √2a = Diagonal of inner square 

⇒ Side of inner square = a