A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate?

Explanation:

An example to contradict this is the case of a sphere. "All points" means that all points irrespective of the plane. It is a sphere that has this definition to be true and not a circle. A sphere is the set of all points that are the same distance from one given point and this is true for all the points on all planes.

For this definition of a circle to be more accurate, then it has to be restated as follows:

A circle is the set of all points, in a given plane, that are the the same distance form one given point.

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step-by-step explanation:

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