Question

Which statement best defines a circle?

OA. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
OB. the set of all points that are the same distance from 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
OD.
points in a plane that surround a given point called the center

Answer 1

Of the choices, the best definition for a circle is:

OA. the set of all points in a plane that are the same distance from each other surrounding a given point called the center

Some key points in this definition:

1) It refers to a set of points, indicating it is a geometric shape.

2) The points are in a plane, showing it is a 2D shape.

3) The points have the same distance from each other, indicating they lie on a curve.

4) There is a given center point, showing the points surround the center point.

5) The points surround the center point, indicating it is a closed shape.

So choice OA captures all these key aspects in defining a circle. The other choices are too vague or incomplete.