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Which term is defined as the distance from the center of a circle to any point on the circle?
The term defined as the distance from the center of a circle to any point on the circle is called the "radius." The radius is a crucial element in the geometry of circles, as it helps determine the circle's size and area. It is half the length of the diameter, which is the distance across the circle through its center.
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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.
What is the set of all points in a plane that are the same distance from a point called the center?
The set of all points in a plane that are the same distance from a 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 using the equation ( (x - h)^2 + (y - k)^2 = r^2 ), where ( (h, k) ) is the center and ( r ) is the radius.
What geometric shape can be described as a fixed distance along a line?
A geometric shape that can be described as a fixed distance along a line is a circle. Specifically, 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 fixed distance from the center to any point on the circle is called the radius.
What is the locus for a point and fixed distance?
The locus of a point at a fixed distance from a given point is a circle. The center of the circle is the fixed point, and the radius is the fixed distance. Each point on the circle is equidistant from the center, representing all possible locations of the point at that specific distance.
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 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 distance between the center of a circle and a point on the circle?
The radius is the distance between the center of a circle and a point on the circle
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.
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.
Every point on a circle is the same distance from what location?
The points are all the same distance from the center of the circle. The distance between the center and any point is the radius of the circle.
What is the set of all points in a plane that are the same distance from a point called the center?
The set of all points in a plane that are the same distance from a 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 using the equation ( (x - h)^2 + (y - k)^2 = r^2 ), where ( (h, k) ) is the center and ( r ) is the radius.
The point that is the same distance from any point on a circle?
It is the circle's center point
The distance from the center of the circle to a point on the circle?
The radius
What is the distance from the center of the circle to a point on the circle?
The radius
What geometric shape can be described as a fixed distance along a line?
A geometric shape that can be described as a fixed distance along a line is a circle. Specifically, 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 fixed distance from the center to any point on the circle is called the radius.
What is the locus for a point and fixed distance?
The locus of a point at a fixed distance from a given point is a circle. The center of the circle is the fixed point, and the radius is the fixed distance. Each point on the circle is equidistant from the center, representing all possible locations of the point at that specific distance.
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.
