College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.6 - Mathematical Models: Building Functions - 3.6 Assess Your Understanding: 10

Answer

(a) $A(r)=4r^2$ (b) $p(r)=8r$

Work Step by Step

(a) We know that the area of a square is: $A=side^2$ Each side is equal to the diameter of the circle: $side=diameter=2*r$ Thus: $A(r)=(2r)(2r)=4r^{2}$ (b) We know that the perimeter of the square is: $P=4*side$ Each side is equal to the diameter of the circle: $side=diameter=2*r$ Thus: $p(r)=4(2r)=8r$
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