Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Section 13.1 - The Parabola and the Circle - Exercise Set - Page 928: 53

Answer

a). The radius is 16.5m b). The circumference is 103.67m c). They would have to be 3.5m apart d). The co-ordinates of the circle are (0,4.062) with radius 16.5m e). $x^2 + (y-4.062)^2=16.5$

Work Step by Step

a). The radius of a circle is half its diameter, so $r=\frac{d}{2}=16.5m$ b). The formula for the circumference of a circle is $C=2 \pi r =2 \pi \times 16.5m=103.67m$ c). Divide the circumference the circle by the number of stones: $\frac{103.67}{30}=3.5m$ d). We can plot the equation $x^2 + (y-4.062)^2=16.5$ to get the same circle as the one given in the question. e). See the graph in the attachment, it's equation is $x^2 + (y-4.062)^2=16.5$
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