SAT Question 5011b039: Circles answer and explanation with Desmos solution

The equation of a circle in the xy-plane can be written in the form $(x-h{)}^2+(y-k{)}^2=r^2$, where $(h,k)$ is the center of the circle and $r$ is the radius of the circle. It’s given that the circle in the xy-plane is defined by $(x+2{)}^2+(y+5{)}^2=169$. Therefore, $r^2=169$. Taking the positive square root of both sides of this equation yields $r=13$. Thus, the radius of the circle is $13$.