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What else can I help you with?
Briefly explain the focus and directrix of a parabola?
the set of points equidistant from a fixed point
What is a point that is equidistant from all points on a circle?
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
What is the locus of points in a plane that are equidistant from two fixed points?
I believe that is the definition of a straight line.
A perfectly round shape with all points equidistant from a fixed point or center is what?
a sphere
What is a three-dimensional surface in which all points are equidistant from a fixed point?
A 'spherical' surface.
What geometric figure is described as the set of points equidistant from a fixed point?
It could be a circle or a sphere
What 3-dimensional figure is made from a set of points in space that are equidistant from a fixed point?
A sphere.
A set of point that is equidistant to a fixed point called center?
A set of points that are equidistant from a fixed point, known as the center, forms a geometric shape called a circle. In a two-dimensional plane, all points on the circle are the same distance from the center, which is defined as the radius. This concept can be extended to higher dimensions, where the set of points equidistant from a center forms a sphere in three-dimensional space.
Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
The center of a circle is a example of what?
The center of a circle is an example of a point equidistant from all points on the circle's circumference, serving as the geometric midpoint of the shape. It is a key element for defining the circle's properties and relationships with other geometric figures.
A example of how a sphere is similar to a circle?
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
