Question

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

Answer 1

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

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)