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