Given the task definition and input, reply with output. You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

If A is point (-4, 1) and B is point (2, 1) what is the area of the circle that has \(\overline { AB } \) as a diameter?
(A)\(3\pi\) (B)\(6\pi\) (C)\(9\pi\) (D)\(12\pi\) (E)\(36\pi\)
C