Well, first of all, the area of the square is not , it's .
square around the circle :
area of square = 2r^2
area of circle = Pi r^2
area of square / area of circle = pi / 4
area of square based on ray r :
area of square = r^2
Area of circle = 1/4 Pi * r^2
area of square / area of circle => 1r^2 / 1/4 pi r ^ 2 = 4 / pi
find ray dependence from relation area of circle to area of square :
4 / pi * ( pi * r^2 ) = 4 ( area of square around the circle is known = 4 )
4r^2 = 4
x = 1
there is not incorrect, ray is dependence from area of square