Is the set of all points on a plane at a given distance from a fixed point called center?

Yes, the set of all points on a plane that are at a given distance from a fixed point is called a circle. The fixed point is known as the center of the circle, and the given distance is the radius. Mathematically, a circle can be defined by the equation ( (x - h)^2 + (y - k)^2 = r^2 ), where ( (h, k) ) is the center and ( r ) is the radius.