Answer:
(-4, 9)
Step-by-step explanation:
Given equation of circle is:
[tex](x + 4)^{2} + {(y - 9)}^{2} = 81 \\ equating \: it \: with \\ (x - h)^{2} + {(y - k)}^{2} = r^2 \\ - h = 4 \implies \: h = - 4\\ - k= - 9 \implies \: k = 9 \\ \therefore \: center \: (h, \: k) = ( - 4, \: 9) \\ [/tex]
