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This could be good to introduce someone to geo probability (BMT 2019 Algebra #4)

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May 5, 2019
probability

Problem Statement

Two real numbers x x and y y are both chosen at random from the closed interval [10,10] [-10, 10] . Find the probability that x2+y2<10 x^2 + y^2 < 10 . Express your answer as a common fraction in terms of π \pi .