Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - 13.1 Conic Sections: Parabolas and Circles - 13.1 Exercise Set - Page 856: 85


${{x}^{2}}+{{\left( y-30.6 \right)}^{2}}=590.49$

Work Step by Step

Equation of circle is ${{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}$. Put the center of the circle $\left( 0,30.6 \right)$ and radius $r=24.3$. $\begin{align} & {{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}} \\ & {{\left( x-0 \right)}^{2}}+{{\left( y-30.6 \right)}^{2}}={{\left( 24.3 \right)}^{2}} \\ & {{x}^{2}}+{{\left( y-30.6 \right)}^{2}}=590.49 \\ \end{align}$ Thus, the equation of the circle is ${{x}^{2}}+{{\left( y-30.6 \right)}^{2}}=590.49$.
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