A piece of wire 24 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (Give your answers correct to two decimal places.)

Question

(a) How much wire should be used for the circle in order to maximize the total area?

(b) How much wire should be used for the circle in order to minimize the total area?

Answer 1

area=4s^2+2PI r^2 were s, r are measurements
4s+PI*2r=24m
s= 24-2PIr

area=4(24+2PIr)+2PI r^2
darea/dr=8PI+4PIr=0
r= 2
s= (24-2PI*2)/4

check my thinking.