Answer:
[tex](x+5)^2+(y-3)^2=18[/tex]
Step-by-step explanation:
The standard form of a circle is [tex](x-h)^{2} +(y-k)^2=r^2[/tex] were r is the radius and (h,k) is the center. We know the center is (-5,3) and the radius is the distance between (-5,3) and (-2,6) which is 3[tex]\sqrt{2}[/tex]. Simply substitute h = -5, k = 3, and r = 3[tex]\sqrt{2}[/tex] into the equation to get:
[tex](x+5)^2+(y-3)^2=18[/tex]
Hope this helps :)
