TASK DEFINITION: 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.
PROBLEM: If seven different lines lie in a plane, what is the greatest possible number of intersections?
(A)18 (B)20 (C)21 (D)22 (E)30

SOLUTION: C

PROBLEM: What is the maximum number of points of intersection between a square and a circle?
(A)less than 4 (B)4 (C)6 (D)8 (E)more than 8

SOLUTION: D

PROBLEM: In the xy-coordinate plane, the center of a circle is at ( 4, 0) and a point on the circle is at (7, 4). What is the area of the circle?
(A)\(4 \pi\) (B)\(9 \pi\) (C)\(16 \pi\) (D)\(25 \pi\) (E)\(36 \pi\)

SOLUTION:
D