Question

select the correct answer. which statement best defines a circle? a. points in a plane that surround a given point called the center b. the set of all points in a plane that are the same distance from each other surrounding a given point called the center c. the set of all points in a plane that are the same distance from a given point called the center d. the set of all points that are the same distance from a given point called the center

Explanation:

A circle is defined as the set of all points in a plane that are equidistant from a given point called the center. Option A is too general as it doesn't mention equidistance. Option B has an incorrect description about the distance relationship among points. Option D doesn't mention the plane - aspect which is important in the basic definition of a circle in Euclidean geometry.

Answer:

C. the set of all points in a plane that are the same distance from a given point called the center