Q. 26 B4.2( 9 Votes )

The ratio of area of two square circumscribe and inscribe by a circle is
A. 4 : 1

B. 1 : 4

C. 2 : 1

D. 1 : 2

Answer :


For a square inscribing the circle,


Diagonal of the square = diameter of the circle


Let the radius of the circle be r


Diagonal of the circle = 2r


We know that the diagonal of the square = √2 side


√2 side = 2r


Side of the inscribed circle = √2r


Area of the inscribed square = side× side


Area of the inscribed circle = 2r2



For a square circumscribing the circle,


Side of the square = diameter of the circle


Side of the circumscribed circle = 2r


Area of the circumscribed square = side× side


Area of the circumscribed circle = 4r2


Ratio of area of two square circumscribe and inscribe by a circle


Ratio = 2:1

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