Lesson Area of circle and square with same circumference/perimeter

If the perimeter of a square has the same length as the circumference of a circle which has the larger area?
Let perimeter of a square=x
Then each side (s) is 1/4 of the perimeter. s=x/4 and the area A=s^2=(x/4)^2=x^2/16
Let circle circumference (C)=y
so C=2pi*r=y

where r=radius
divide 2*pi into each side: r=y/2pi

The area of a circle is the green line in the graph; the area of the square is purple. The area of a circle is larger than the area of a square for all identical lengths of perimeter and circumference. They approach each other as they approach zero.
Ed
graph(500,500,-10,10,-10,10,(x/4)^2,3.14159*(x/(2*3.14159))^2)

graph(500,500,-10,10,-10,10,(x/4)^2,3.14159*(x/(2*3.14159))^2)