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Square I is inscribed in circle I and square II is inscribed in circle II. The perimeter of square I is 2 inches and the perimeter of square II is 4 inches. What is the ratio of the area of circle II to the area of circle I? Express your answer as a common fraction.

 Mar 18, 2024

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Side of square 1  = 1/2

Radius of circle 1    =    (1/2)sqrt(2) / 2  =  sqrt (2)/4

 

Side of square 2  =  1

Radius of circle 2 =  (1)sqrt (2) / 2

 

Area circle 2   /Area of circle 1   =  [ sqrt (2) / 2 ] ^2   / [ sqrt (2) / 4]^2   = 16 / 4  =  4 /  1

 

 

cool cool cool 

 Mar 18, 2024

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