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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".
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
What is difference between circle and ring?
A circle is a two-dimensional shape defined as the set of all points equidistant from a central point, known as the center. In contrast, a ring (or annulus) is a two-dimensional shape that consists of the area between two concentric circles, one inside the other. Essentially, a circle has no thickness, while a ring has an inner and outer boundary, giving it a measurable width.
What is the cord that passes through the center of the circle?
the cord that passes through the center of the circle is known as the diameter, the whole circle on the out side is known as the circumference, the dot in the middle is known as the center and the radius is the line what goes half way through the circle from the diameter.
A point inside a circle that is equidistant from all points on edge of a circle?
A point inside a circle that is equidistant from all points on the edge of the circle is known as the center of the circle. This point is equidistant from the circumference at all angles, which is why it serves as the defining point for the circle's radius. For any given circle, the center is unique and plays a crucial role in various geometrical calculations and constructions.
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".
What is a set of points in space equidistant from a given point called?
A set of points in space that are equidistant from a given point is called a sphere. The given point is referred to as the center of the sphere, and the distance from the center to any point on the surface is known as the radius. In three-dimensional space, a sphere is defined mathematically by the equation ( (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 ), where ((h, k, l)) are the coordinates of the center and (r) is the radius.
The point in a circle from which all other points are equidistant is called the what?
The point in a circle from which all other points are equidistant is called the center. The distance from the center to any point on the circle is known as the radius. This property defines the geometric nature of a circle in Euclidean space.
What shape am i all my points are the same distance from one fixed point?
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.
Around figure who surface is at all points equidistant from the center?
The figure you are describing is a sphere. In a sphere, every point on its surface is equidistant from a central point, known as the center of the sphere. This constant distance from the center is referred to as the radius. Spheres are three-dimensional shapes and can be found in various contexts, such as in geometric studies and in nature.
What geometric object is defined as a set of all points in a plane that are equidistant from the two sides of a given angle?
The geometric object defined as a set of all points in a plane that are equidistant from the two sides of a given angle is known as the angle bisector. This line divides the angle into two equal parts and represents the locus of points that maintain equal distance from both sides of the angle.
Which geometric object is defined as the set if all points in a plane at a given distance at a given point?
A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
How many sides does a circal have?
A circle is a shape with no sides. It is defined as the set of all points equidistant from a central point, known as the center. Instead of sides, a circle has a continuous curved boundary.
What shape has 1 curved side which is always an equal distance from the center of the shape?
The shape you are describing is a circle. A circle is defined as the set of all points in a plane that are equidistant from a central point, known as the center. The curved side of a circle is its circumference, which is always the same distance (the radius) from the center.
What shape am I al my points are the same distance from one fixed point?
You are describing a sphere in three-dimensional space or a circle in two-dimensional space. In both cases, all points are equidistant from a single fixed point, known as the center. The fixed distance from the center to any point on the shape is called the radius.
