Circles SAT question

Choice B is correct. The standard form of an equation of a circle in the xy-plane is ${(x-h)}^2+{(y-k)}^2=r^2$, where the coordinates of the center of the circle are $(h,k)$ and the length of the radius of the circle is $r$. For the circle in the xy-plane with equation ${(x-5)}^2+{(y-3)}^2=16$, it follows that $r^2=16$. Taking the square root of both sides of this equation yields $r=4$ or $r=-4$. Because $r$ represents the length of the radius of the circle and this length must be positive, $r=4$. Therefore, the radius of the circle is $4$. The diameter of a circle is twice the length of the radius of the circle. Thus, $2(4)$ yields $8$. Therefore, the diameter of the circle is $8$.

Choice A is incorrect. This is the radius of the circle. 

Choice C is incorrect. This is the square of the radius of the circle. 

Choice D is incorrect and may result from conceptual or calculation errors.