Respuesta :

The equation in standard form of the circle with radius 8 and center located at (-6 , 3) is (x + 6)^2 + (y - 3)^2 = 64.

The standard form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-6 , 3)

r = 8

(x - -6)^2 + (y - 3)^2 = 8^2

(x + 6)^2 + (y - 3)^2 = 64

Learn more about equation of a circle here: https://brainly.com/question/14150470

#SPJ4