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Problem 2 (20 points, graded on accuracy) Consider a circle of radius r . A chord is a line
segment with both endpoints contained in the circle. Assume that a random chord is a chord
whose distance D from the center of the circle is uniformly distributed between 0 and r . What is
the probability that the length of a random chord will be greater than the side of the equilateral
triangle inscribed in that circle?

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Problem 2 (20 points- graded on accuracy) Consider a circle of radius.docx

  • 1. Problem 2 (20 points, graded on accuracy) Consider a circle of radius r . A chord is a line segment with both endpoints contained in the circle. Assume that a random chord is a chord whose distance D from the center of the circle is uniformly distributed between 0 and r . What is the probability that the length of a random chord will be greater than the side of the equilateral triangle inscribed in that circle?