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4. Find the center and radius of the circle (x - 2)2 + (Y - 6)2 = 8.
(2,6); 2/2
O (2,6); 64
O (-2,-6); 2/2
O (2,6); 4/2

Answer 1

Center = (2, 6)

Radius
`=2\sqrt 2`

Explanation:

`(x - 2)^ 2 + (y- 6)^ 2 = 8 \\ \\ (x - 2)^ 2 + (y- 6)^ 2 = {(2 √(2) )}^(2) \\ \\equating \: it \: with \\ \\ (x - h)^ 2 + (y- k)^ 2 = {r}^(2) \\ \\ h = 2, \: \: k = 6, \: \: r = 2 √(2) \\ \\ center = (h, \: k) \\ \\ center = (2, \: 6) \\ \\ radius \: = r \\ \\ radius = 2 √(2)`