Write an equation of the circle with center (-8,4) and diameter 6.

(x+8) ^2 + (y-4) ^2 = 3^2

or

(x+8) ^2 + (y-4) ^2 = 9

Step-by-step explanation:

The diameter is 6, so the radius would be d/2 = 3

The equation of a circle is

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

where (h, k) is the center and r is the radius

(x - - 8) ^2 + (y-4) ^2 = 3^2

(x+8) ^2 + (y-4) ^2 = 3^2

or

(x+8) ^2 + (y-4) ^2 = 9