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The equation of a circle is given below.
(x - 5)2 + (y + 2)
81
4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units

Answer 1

center = (5, - 2)

Radius = 9

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}}}`