Question

a circle is the collection of points in a plane that are within a certain distance from a given point in the plane.

a. true
b. false

Explanation:

Analyze the definition of a circle

A circle is defined as the set of all points in a plane that are at a constant, fixed distance (the radius) from a given point (the center).

Evaluate the statement's phrasing

The statement says "within a certain distance," which describes a disk (the interior of a circle) rather than the circle itself. A circle consists only of the boundary points where the distance is exactly equal to the radius, not less than or equal to it.

Answer:

• A. True
• B. False (Correct answer)