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Circle and square A piece of wire 60 cm in length is cut,

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 20E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 20E

Circle and square A piece of wire 60 cm in length is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?

Step-by-Step Solution:

Solution Step 1: (a)We have given A piece of wire 60 cm in length is cut, and the resulting two pieces are formed to make a circle and a square. That is circumference of a circle(2r ) and perimeter of square(4x) together have 60 cm length 2r + 4x=60 Solve for r 2r = 60 4x 604x r = 2 302x r = Step 2: Let A be the combined area of circle and square Therefore 2 2 A=r + x Using value of r in A we convert A in terms of single variable x 2 2 A=r + x 302x 2 2 A=( ) + x (302x) 2 A= + x 2 A = 900+ 4x - 120x+x 2 4 120x 900 A = ( +1)x - 2 + …..(1)

Step 3 of 4

Chapter 4.4, Problem 20E is Solved
Step 4 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 20E from 4.4 chapter was answered, more than 296 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: square, circle, Wire, cut, minimize. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 20E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Circle and square A piece of wire 60 cm in length is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?” is broken down into a number of easy to follow steps, and 48 words.

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