If \(A\) and \(C\) are points in a plane, \(C\) is the center of circle \(O,\) and the length of line segment \(AC\) is \(x,\) does point \(A\) lie outside circle \(O ?\)

(1) The circumference of circle \(O\) is \(x\pi.\)
(2) The area of circle \(O\) is \(x\pi.\)

[spoiler]OA=A[/spoiler]

Source: Princeton Review