Answer: [tex](x+3)^2+(y+5)^2=25[/tex]
Step-by-step explanation:
The equation of the in center-radius form is the shown below:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is at the point (h,k) and r is the radius of the circle.
Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then, you must substitute values into the equation shown above.
Therefore, you obtain the following equation:
[tex](x-(-3))^2+(y-(-5))^2=(5)^2[/tex]
[tex](x+3)^2+(y+5)^2=25[/tex]
