Question

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

Explanation:

A circle is a 2-dimensional planar figure. Option A incorrectly states points are same distance from each other. Option C omits the "in a plane" requirement, which is necessary as a 3D set of such points would be a sphere. Option D does not mention the equal distance condition, which is core to the definition. Option B correctly includes the planar constraint and the key condition of all points being equidistant from a central point.

Answer:

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