SAT Question 62d39eb8: Circles answer and explanation with Desmos solution

The equation of a circle in the xy-plane can be written in the form ${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$, where $\left(h,k\right)$ 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 ${\left(x+3\right)}^2+{\left(y+5\right)}^2=289$. Therefore, $r^2=289$. Taking the positive square root of both sides of this equation yields $r=17$. Thus, the radius of the circle is $17$.