A circle in 2-dimensions, a sphere in 3-d.
The 'sphere' has.
A circle has all of it's points the same distance from the center. For example, if you put a dot on a given point on the circumference, or outline of a circle, all the points have the same distance from the circle. This only works if you put a point on the outline or circumference of the circle.
You are describing a circle. In a circle, all points are equidistant from a fixed point known as the center. The distance from the center to any point on the circle is called the radius.
A collection of points in a plane that are the same distance from a center point forms a circle. The center point is known as the center of the circle, and the constant distance from this center to any point on the circle is called the radius. All points on the circle maintain this uniform distance from the center, creating a perfectly round shape.
The locus of points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
Alternates are fill-in-the-blank version of this Q. are the same distance from a point and a line
A circle is the set of all the points that have the same distance from a given point (its center). If you rotate a shape, you rotate it in such a way that you keep any point a fixed distance from the center of rotation.
A circle is a set of points equidistant ( the same distance ) away from a single point, the center of the circle.
A globular sphere has all points at the same distance from an interiocenter point.
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The set of all points in space that are the same distance from a given point is called a sphere.
A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the center.simplified, it is all the points on a plane that are the same distance from a given point.