Question

Which statement BEST defines a circle? A) A circle is the set of all points in a plane equidistant from each other. B) A circle is the set of all points in a plane equidistant from a given arc. C) A circle is the set of all points in a plane equidistant from a given point. D) A circle is the set of all points in a plane equidistant from a given segment.

Answer 1

The correct answer is C) A circle is the set of all points in a plane equidistant from a given point.

Explanation:

A circle is a shape composed of a single line or set of points that have the same distance from the center of the circle or that are equidistant from the center. Additionally, circles do not have angles but are closed curves.

Besides this, the distance from the center to any point of the circle is known as the radius, this serves to calculate the diameter of a circle that is the double of the radius and the perimeter that is equal to the diameter multiply by Pi (3.14). Thus, a circle is the set of all points in a plane equidistant from a given point.

Answer 2

A circle is the set of all points in a plane equidistant from a given point, as the mathematical definition holds. For a typical definition, you will take a point A and a specified distance r and the set of all the points at distance r from A is a circle.