Use the image to answer the question.

A circle has an unlabeled point in its center.

What is the precise definition of the figure in the image?

Option #1: the finite portion of a line between two points on the line

Option #2: a part of the circumference of a circle or other curve

Option #3: the figure formed by two lines extending from the same point

Option #4: the set of all points that are equidistant from a center point

1 answer

The precise definition of a circle is given by:

Option #4: the set of all points that are equidistant from a center point.

A circle is defined as the collection of all points in a plane that are a fixed distance (the radius) away from a central point (the center of the circle).