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.

Input: Consider Input: The center of a circle is at the origin of a rectangular coordinate plane. If the points \((-3,0)\), \((0,3)\), and \((3,0)\) are on the circumference of the circle, what is the probability that a randomly selected point from within the circle will fall within the triangle formed by those three points?
(A)\(\frac{1}{4}\) (B)\(\frac{1}{\pi}\) (C)\(\frac{1}{3}\) (D)\(\frac{\pi}{4}\) (E)\(\frac{\pi}{3}\)

Output: B


Input: Consider Input: If a rectangle of perimeter 12 has a width that is 2 less than its length, what is its area?
(A)6 (B)8 (C)10 (D)20 (E)35

Output: B


Input: Consider Input: \begin{gather} x^2 + y^2 + 4x - 2y = -1 \end{gather} The equation of a circle in the xy-plane is shown above. What is the radius of the circle?
(A)2 (B)3 (C)4 (D)9


Output: A