Final answer:
A circle is the collection of points in a plane that are within a certain distance from a given point in the plane.
Step-by-step explanation:
A circle is the collection of points in a plane that are within a certain distance from a given point in the plane. This given point is called the center of the circle, and the distance from the center to any point on the circle is called the radius. Therefore, the statement 'A circle is the collection of points in a plane that are within a certain distance from a given point in the plane' is true.
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