Question

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Answer 1

Answer:

center = (5, - 2)

Radius = 9

Step-by-step explanation:

${(x - 5)}^{2} + {(y + 2)}^{2} = 81 \\ {(x - 5)}^{2} + {(y + 2)}^{2} = {9}^{2} \\ equating \: it \: with \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ - h = - 5 \implies \: h = 5 \\ - k = 2 \implies \: k = - 2 \\ \red{ \boxed{ \bold{\therefore \: center = (h, \: \: k) = (5, \: \: - 2)}}} \\ {r}^{2} = {9}^{2} \implies \: r = 9 \\\ \purple{ \boxed{ \bold{ \therefore \:radius \: (r)= 9}}}$