A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r? (p= Pi)

A. pr2
B. pr2 + 10
C. pr2 + ¼ p2r2
D. pr2 + (40-2pr)2
E. pr2 + (10- ½ pr)2

Question

A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r? (p=> Pi)

A. pr2
B. pr2 + 10
C. pr2 + ¼ p2r2
D. pr2 + (40-2pr)2
E. pr2 + (10- ½ pr)2

anonymous · Answer

Well, how much wire will you have left after you make the circle?