Answer:
center: (-3, -10)
radius: 15 units
Explanation:
The equation of a circle with center (h, k) and radius r has the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]So, rewriting the equation of the circle, we get:
[tex]\begin{gathered} (x+3)^2+(y+10)^2=225 \\ (x-(-3))^2+(y-(-10))^2=15^2 \end{gathered}[/tex]Therefore, the center of the circle is the point (-3, -10) and the radius is 15 units.
Then, the answers are:
center: (-3, -10)
radius: 15 units