GRE Exam Numerical Ability Geometry

What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
(A) 1/2
(B) 1
(C) Sqrt 2
(D) Pi
(E) (1 + Sqrt 2)/4

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GRE Other Question

Which of the following circles has the greatest number of points of intersection with the parabola x^2 = y + 4
(A) x^2 + y^2 = 1
(B) x^2 + y^2 = 2
(C) x^2 + y ^2 = 9
(D) x^2 + y^2 = 16
(E) x^2 + y^2 = 25 A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x?
(A) x^2/9
(B) x^2/8
(C) x^2/4
(D) x^2
(E) 2x^2