Hills Ortiz
11/07/2023 · High School

Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. \( \mathrm{x}^{2}+\mathrm{y}^{2}+4 \mathrm{x}-2 \mathrm{y}-20=0 \) The equation of the circle in standard form is (Simplify your answer.) \begin{tabular}{l} The center of the circle is \\ (Type an ordered pair.) \\ The radius of the circle is \( \mathrm{r}=\square \). \\ Use the graphing tool to graph the circle. \\ \hline Click to \\ enlarge \\ graph \end{tabular}

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The equation of the circle in standard form is \((x + 2)^2 + (y - 1)^2 = 25\). The center of the circle is \((-2, 1)\) and the radius is \(5\).

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