Question

Part A: 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? (5 points)

Answer 1

Answer:

• a sphere

• the definition needs to restrict all of the points to a plane

Step-by-step explanation:

In 3-dimensional Euclidean space, a sphere is the set of all points the same distance from a given point. The given definition of a circle only applies when the given point and the solution set are in the same plane, and the geometry is Euclidean.