Question 1080854
You will make a system of equations with the form of each equation as  {{{ax+by+c=-(x^2+y^2)}}}, because the right-side member will be a computable value for each equation.


Each point gives a separate equation.


{{{system(a(-3)+b(-5)+c=-(9+25),a(-9)+b(-13)+c=-(81+169),a(-2)+b(-12)+c=-(4+144))}}}


{{{system(-3a-5b+c=-34,-9a-13b+c=-250,-2a-12b+c=-148)}}}------continue and solve this system for a, b, and c.


{{{system(a=12,b=18,c=92)}}}
(used online calculator at https://matrix.reshish.com/gauss-jordanElimination.php )


Use the equation formed using the found coefficients and convert the equation into standard equation form for a circle ( can mean, completing the squares) and read the center and radius from the equation.