A piece of rope that is 24 feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Write a function "f" representing the area of the circle as a function of the length of one side of the square "s". Hint: If C is the circumference of the circle and P is the perimeter of the square, then C+ P=24. Enter the expression in simplest form. f ( s )= Note two things: we want f(s), and P=4 s . so

C=24?4 s C=2 ?r (the circumference of a circle), so 2 ?r =24?4 s r =12?2 s/? So what is the Area of a Circle? A=? r2 So

A=n 12 -2s 2 A =n N 12 -2 s f s =