Minimize Area from cut wire.....
I have been on this problem forever, and cannot solve it. Does anybody have any ideas?
A wire of length 52 cm is to be cut into two pieces. One of the pieces is to be bent into the form of a circle and the other into the form of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum? What is the perimeter of the square? What is the circumference of the circle?
Thanks in advance for all the help.
Work for Minimization Problem
y= pi(x/2pi)^2 + ((52-x)/4)^2
y'= 2pi(x/2pi) - 2 ((52-x)/4)