Answer:
[tex](x+5)^2+(y+2)^2=625[/tex]
Step-by-step explanation:
The center-radius form a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. Okay, it is called standard form. But I like to call it center-radius form because it tells us the center (h,k) and the radius,r.
So we are given the following information r=25 and center=(h,k)=(-5,-2).
So we just plug this in like so:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x--5)^2+(y--2)^2=25^2[/tex]
[tex](x+5)^2+(y+2)^2=625[/tex]