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The ratio of the area of a circle to the area of a square that fits perfectly around the circle is 78.5 : 100. What is the ratio of the area of a circle to the area of a square that fits perfectly inside the circle? please tell me how to get it, need to show work ;) LambLamb

 Dec 17, 2015
edited by Guest  Dec 17, 2015
 #1
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It would be the same 78.5%.

 

This is the key value here: π/4

 Dec 17, 2015
 #2
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The area of the square surrounding the circle = 4r^2  = 100 ......  where r is the radius of the circle  ........thus  r = 5

 

The area of the surrounded circle  = pi * r^2   =   25pi

 

The area of the square inscribed in this circle = 2r^2  =  2(25) =  50

 

So......the ratio of the area of the circle to the area of the inscribed square  =  25pi / 50   =  pi / 2 

 

 

 

 

cool cool cool

 Dec 18, 2015

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