A piece of wire, of length 100 cm, is cut into two pieces. One piece is bent

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A piece of wire, of length 100 cm, is cut into two pieces.
One piece is bent to make a square of side x cm and the other is bent to make a circle of radius r cm.
The total area enclosed by the two shapes is Acm2.
a. Express r in terms of x.

b. Show that

c. Find the value of x for which A has a stationary value and determine the nature and magnitude of this stationary value.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 11:25 PM

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A piece of wire, of length 100 cm, is cut into two pieces. One piece is bent

Question:

A = (+4)x²200x + 2500 TT.

Step by Step Answer:

a To express r in terms of x we first need to determine the length of wire used to make the circle W...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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