Answer:
[tex](x+4)^2+(y+9)^2=25[/tex]
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is
[tex](x-h)^2+(y-k)^2=r^2[/tex].
You are given (h,k)=(-4,-9) and the radius=(diameter)/2=10/2=5.
Plug in the information and you will have your equation:
[tex](x-(-4))^2+(y-(-9))^2=(5)^2[/tex].
Simplify: