You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? This question will walk you through setting up and solving this problem. We need to start by dividing up the wire into two pieces. Since the question is asking us for the circumference of the circle, it will likely be easiest to use that quantity as our variable. So, let C represent the circumference of the circle. A) If the circumference of the circle is C, then the piece of wire bent into a circle will have length C. The rest of the 86 cm of wire will be bent into the square. How long is the remaining piece of wire that will be bent into a square? (this will be in terms of C) The length of wire that will be bent into a square D cm. Question Help: Message instructor D Post to forum Submit Part

You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? This question will walk you through setting up and solving this problem. We need to start by dividing up the wire into two pieces. Since the question is asking us for the circumference of the circle, it will likely be easiest to use that quantity as our variable. So, let C represent the circumference of the circle. A) If the circumference of the circle is C, then the piece of wire bent into a circle will have length C. The rest of the 86 cm of wire will be bent into the square. How long is the remaining piece of wire that will be bent into a square? (this will be in terms of C) The length of wire that will be bent into a square D cm. Question Help: Message instructor D Post to forum Submit Part

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

You and your friends are sharing a pizza with a radius of 7 inches. If there are 5 of you, how much area does each of you get? Round to the nearest tenth of a square inch .
Laurel has an area in her yard that is in the shape of a parallelogram. It has a base of 30 feet and a height of 22 feet. She wants to cover this area with wildflower seeds. She finds out that 1 ounce of seeds covers 125 square feet of ground. How many ounces of seeds does she need to cover this area? 7 ounces 5 ounces 4 ounces 6 ounces
An art museum owns a painting that it would like to reproduce in reduced size onto a 24-inch by-36-inch poster. The painting is 85 inches by 140 inches. Give your recommendation for the size of the reproduced painting on the poster- how wide and long do you suggest that it be? Draw a scale picture showing how you would position the reproduced painting on the poster. Explain your reasoning.
Maria is making a map of Europe. The continent is 1,339 miles by 2,076 miles. If her scale is 1 inch = 50 miles, how large will her map be?
Jenny wanted to repaint the walls of a rectangular room in her home. The room is 40 feet long and 26 feet wide with a ceiling 10 feet high. The room has 4 windows (each 4 ft x 6 ft) and 7 doors (each 6 ft x 3 ft). She will not be painting either the ceiling or the doors. A a. What is the square footage Jenny needs to paint? Show your work. Since she plans to paint with a color that is similar to the current color, Jenny thinks she will need only one coat of paint. She looks up information online and finds that one gallon of paint will cover 400 square feet. She has decided she should buy 2 gallons of paint. b. Do you agree or disagree with Jenny’s plan to buy 2 gallons of paint? Show calculations and write a sentence or two to support your argument.