Find the center and the radius (x+6) 2 + (y-5) 2 = 8

The center is (-6,5) and the radius is 2 sqrt (2)

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k) ^2 = r^2 where (h, k) is the center and r is the radius

(x+6) ^2 + (y-5) ^2 = (sqrt (8)) ^2

rewriting this

(x - - 6) ^2 + (y-5) ^2 = (2 sqrt (2)) ^2

The center is (-6,5) and the radius is 2 sqrt (2)