Inscribed and Circumscribed Square.
Square A is inscribed within a circle of radius 1, such that the diagonals of the square A pass through the center of the circle. Square B is circumscribed around the same circle such that all the sides are tangent to the circle. What is the ratio of the area of Square B to the area of Square A?.
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1 solution
Square B : Length of each side = 2 Area of Square B = 4.
Square A : Length of diagonal =2. Hence length of each side = √2. Area of Square A = 2.
So the ratio of Area of Square B to Area of Square B = 2. Answer = 2