Answer:
(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
