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What is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What is a 5 radius circle on a coordinate grid?
A circle with a radius of 5 on a coordinate grid is defined as the set of all points that are exactly 5 units away from a central point, known as the center of the circle. If the center is at the origin (0, 0), the equation of the circle can be expressed as ( x^2 + y^2 = 25 ). This represents a circular shape that spans 10 units in diameter, extending from -5 to 5 along both the x and y axes. The circle will encompass all points (x, y) that satisfy this equation.
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.
What is a collection of point in a plane that are the same distance from a center point?
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 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 is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What is a 5 radius circle on a coordinate grid?
A circle with a radius of 5 on a coordinate grid is defined as the set of all points that are exactly 5 units away from a central point, known as the center of the circle. If the center is at the origin (0, 0), the equation of the circle can be expressed as ( x^2 + y^2 = 25 ). This represents a circular shape that spans 10 units in diameter, extending from -5 to 5 along both the x and y axes. The circle will encompass all points (x, y) that satisfy this equation.
What is the set of points in a plane that are equidistant from a given point known as the center?
circle
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.
What is a collection of point in a plane that are the same distance from a center point?
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 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 is the width of a circle known as?
The width of a circle is known as its diameter. The diameter is the longest distance across the circle, passing through its center and connecting two points on its circumference. It is twice the length of the radius, which is the distance from the center of the circle to any point on its edge.
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".
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.
What is a polar inversion?
A polar inversion is a geometric transformation that swaps each point through a circle with its antipodal point. It is also known as a circle inversion, where the center of inversion is the center of the circle, and points inside the circle are mapped outside while points outside are mapped inside. This transformation preserves angles but distorts distances.
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.
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.
