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# Probability

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A point P is randomly selected from the square region with vertices at $(\pm 1, \pm 1)$. What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi.

Sep 7, 2021

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Area of the square = 2 x 2 = 4 units2

Area within 1 unit of origin is a circle with radius 1          area = pi 1^2

pi / 4

Sep 7, 2021