The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > 0 and y > x? Choose the correct choice from the following options.
A) 1 / 8 B) 1 / 6 C) 3 / 8 D) 1 / 2 E) 3 / 4

Rationale: the line y = x divides the circle into two equal areas . all the points above the line y = x satisfy the condition that y > x . all the points above the x - axis satisfy the condition that y > 0 . the intersection of these two areas is 3 / 8 of the circle . the answer is c .
Answer: C