The center is (-1, -2) and the radius of the circle is 5.
The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]
Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;
[tex]\rm (x+1)^2+(y+2)^2=25[/tex]
Comparing both the equations;
[tex]\rm (x+1)^2+(y+2)^2=25\\\\\rm (x+1)^2+(y+2)^2=5^2\\\\h = -1\\\\k = -2\\\\r^2=5^2\\\\r=5[/tex]
Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
brainly.com/question/11833983
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