Which statement is the most precise definition of a circle?

A.
A circle is a curved polygon in a plane.

B.
A circle is an evenly round shape in a plane.

C.
A circle is a closed line around a point in a plane.

D.
A circle is a round object containing 360° in a plane.

E.
A circle is the set of all points in a plane equidistant from a fixed point.

E.

A circle is the set of all points in a plane equidistant from a fixed point.