Which equation represents the general form a circle with a center at (-2, - 3) and a diameter of 8 units?

(x+2) ^2 + (y+3) ^2 = 16

Step-by-step explanation:

Given

Centre (h, k) = (-2,-3)

h = - 2

k = - 3

Diameter=8 units

To find radius,

r=diameter/2

r = 8/2

r=4 units

The equation for a circle with center at (h, k) and radius r is:

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

Putting in the values of h, k and r

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

(x+2) ^2 + (y+3) ^2 = 16