Hi I was wondering if anyone can help with this it just doesn't click with me...

A 40 cm string is cut in 2. one piece forms a square and the other a circle. find what the lengths of the pieces has to be so that the total of the areas is minimal.

Printable View

- Apr 12th 2012, 06:01 PMtemporaryCalculus problem on optimization.
Hi I was wondering if anyone can help with this it just doesn't click with me...

A 40 cm string is cut in 2. one piece forms a square and the other a circle. find what the lengths of the pieces has to be so that the total of the areas is minimal. - Apr 12th 2012, 06:47 PMskeeterRe: Calculus problem on optimization.
let one piece of string have length ... other piece will have length

let = piece forming a circle

, derive an expression for the circle area in terms of

= piece forming a square

= Perimeter of the square , derive an expression for the square area in terms of

total area, = circle area as a function of + square area as a function of

find and determine the value of that minimizes the total area