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

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