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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 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 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.
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 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.
Which defines a circle?
A circle is defined as the set of all points in a plane that 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. Mathematically, a circle can be represented by the equation ( (x - h)^2 + (y - k)^2 = r^2 ), where ( (h, k) ) are the coordinates of the center and ( r ) is the radius.
What is the round model of earth?
The round model of the Earth is known as a sphere. It is a three-dimensional shape where all points on the surface are equidistant from the center, giving it a circular appearance in all directions. The spherical shape of the Earth is a fundamental concept in geography and astronomy.
What are the special features about a circle?
A circle is defined by its constant distance from a central point, known as the radius, which remains the same at all angles. Its unique properties include having a circumference that can be calculated using the formula (C = 2\pi r) and an area given by (A = \pi r^2). Additionally, all points on the circle are equidistant from the center, and it exhibits rotational symmetry, meaning it looks the same from any angle of rotation around the center.
What are the set of all points in a plane that are the same distance from a given point called the center called?
The set of all points in a plane that are the same distance from a given point, called the center, is known as a circle. The distance from the center to any point on the circle is called 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.
What is a circle classified as?
A circle is classified as a two-dimensional geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center. It is a type of conic section with a constant radius. The distance from the center to any point on the circle is known as the radius, and the longest distance across the circle, passing through the center, is called the diameter.
