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 or y > x? Answers:  A) 5/8  B) 1/6  C) 3/8  D) 1/2  E) 3/4
The line y=x divides the circle into two equal areas.   All the points above the line y=x satisfy the condition that y &gt; x.   All the points above the x-axis satisfy the condition that y &gt; 0.   The union of these two areas is 5/8 of the circle.   The answer is 5/8.
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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 or y > x?