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

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