A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square and the other into the shape of a circle. a.) How should the wire be cut so that the sum of the enclosed area is a minimum? b)How should it be cut to get the maximum enclosed areas?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
icon
Related questions
Question

A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square and the other into the shape of a circle.

a.) How should the wire be cut so that the sum of the enclosed area is a minimum?

b)How should it be cut to get the maximum enclosed areas?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

how did the operation change right after you equated dA/dL to 0

Solution
Bartleby Expert
SEE SOLUTION