Two real numbers are chosen at random between 0 and 2. What is the probability that the sum of their squares is no more than 1? Express your answer as a common fraction in terms of pi.
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If x = one number and y the other......we have the area of a quarter-circle of a radius of 1 centered at the origin .... area = pi/4
And the total possible area = a 2 x 2 square = area of 4
So.....the probabilty is
pi / 4 pi
_____ = ____