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.

[Q]: If the circumference of circle I is equal to the diameter of circle II, what is the ratio of the area of circle II to the area of circle I?
(A)\(\frac { 1 } { \pi^2 } \) (B)\(\sqrt { \pi } \) (C)\(\pi\) (D)\(\pi^2\) (E)\(4\pi^2\)
[A]: D


[Q]: What is the diameter of a circle whose area is A?
(A)\(2\sqrt { \frac { A } { \pi } } \) (B)\(\sqrt { \frac { A } { \pi } } \) (C)\(\frac { A } { 2\pi } \) (D)\(\frac { A } { \pi } \) (E)\(\frac { 2\sqrt { A } } { \pi } \)
[A]: A


[Q]: If the perimeter of equilateral triangle E equals the perimeter of square S, what is the ratio of the length of a side of square S to the length of a side of triangle E?
(A)1:1 (B)2:3 (C)3:4 (D)4:3 (E)2:1
[A]:
C