Final answer:
A circle is not the collection of points that are the same distance from the radius.
Step-by-step explanation:
A circle is the collection of points in a plane that are equidistant from a fixed point called the center. This fixed distance is called the radius of the circle. Therefore, the statement 'A circle is the collection of points in a plane that are the same distance from the radius' is False because the radius is not a distance but a line segment connecting the center to any point on the circle.
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