Maximize and Minimize a 12" piece of wire into a square and circle
A piece of string length L is to be cut into two pieces. One piece is formed into a square, the other into a circle. Where should the string be cut in order for the total are eclipsed by the two shapes be as small as possible. And how can they be cut to make the total area enclosed as big as possible.
This is for Calculus, so I am guessing it will be a minimising and maximising question, but I can't remember how to do it. And advice?