Q. 26 B4.2( 9 Votes )

The ratio of area of two square circumscribe and inscribe by a circle isA. 4 : 1B. 1 : 4C. 2 : 1D. 1 : 2

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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