The evaluation using the equation of circle for the practice question is (x - 4)² + (y + 11)² = 256
With respect to the distance formula, a point location in space (x,y) at a distance (r) from the origin is valid if [tex]\mathbf{\sqrt{x^2 + y^2} = r}[/tex]. Hence this refers to the equation of the circle centered at the origin.
For Conic Sections:
where;
Let's assume we have a circle with C(4,-11) and radius r = 16;
Then, we have:
(x-h)² +(y -k)² = r²
(x-4)² + (y - (-11))² = 16²
(x - 4)² + (y + 11)² = 256
Learn more about equation of circles here;
https://brainly.com/question/24810873