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What is the set of points in a plane at a fixed distance from a given point?
Wiki User
∙ 15y ago
CIRCLE
Wiki User
∙ 15y ago
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True or false a circle is the set of all points in a plane that lie a fixed distance from a fixed point?
That's false
What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
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 term for the set of all points in a plane that are the same distance from a given point?
This is the definition of a circle.
Given the coordinates of two points in the plane you can use either the Distance Formula or the Pythagorean Theorem?
Answer: True
What name is given to the set of all points in a plane that are the same distance from a given fixed point?
A circle.
What is name is given to the set of your points in a plane that are the same distance form a given fixed points?
Its name shall be called "circle".
What is a set of points in a plane that are a given distance from a given point in a plane?
a circle
What is a set of points in a plane that are the same distance from a given point in the plane?
They are points on the circumference of a unique circle in the plane.
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.
The set of all points in a plane that are the same distance from a fixed point?
circle
What is the definition of circle?
A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the center.simplified, it is all the points on a plane that are the same distance from a given point.
A circle is the collection of points in a plane that are the same distance from a given point in the plane?
true
A collection of points in the plane whose distance from fixed point is constant?
That's a circle. The "fixed point" is the center of the circle, and the constant distance is its radius.
True or false a circle is the set of all points in a plane that lie a fixed distance from a fixed point?
That's false
What is the mathematical definition of a circle?
A circle is the set of all points in a plane that are a given distance (or a fixed distance) from another point. Take a plane, and then pick any point on it. Then pick a distance from that point you picked and connect all the points that are that distance from your fixed point. That will describe the circumference of a circle. Another idea is to take a plane, pick any point, and then take a compass and put the point of that instrument on that point you picked. Then set a distance on the compass and draw a circle. That circle will be that set of all points a fixed distance from the original point you picked. (A string will work as well as a compass if that string is not stretched to draw the circle.)
The center of a circle is a example of what?
A point. In fact it is fixed point and the locus of all points, in a plane that is a fixed distance from that fixed point defines the circle.
