A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
Center
Radius
Diameter
Points in a plane
The complete question is as follows:-
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
A circle includes its diameter
The set of points is in a plane
A circle includes its radius
The set of points is collinear
A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.
Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a line
the set of points in a plane
the set of points in a region
Etc
Of these numerous possible interpretations, James should have specified that the set of points is in a plane
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