Let the interval [?r, r] be the base of a semicircle. If a

Chapter 1, Problem 14E

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QUESTION:

PROBLEM 14E

Let the interval [−r, r] be the base of a semicircle. If a point is selected at random from this interval, assign a probability to the event that the length of the perpendicular segment from the point to the semicircle is less than r/2.

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QUESTION:

PROBLEM 14E

Let the interval [−r, r] be the base of a semicircle. If a point is selected at random from this interval, assign a probability to the event that the length of the perpendicular segment from the point to the semicircle is less than r/2.

ANSWER:

 Answer:

 Step1 of 1:

              Let the interval [−r, r] be the base of a semicircle.

  

If a point is selected at random from this interval, assign a probability to the event that the length of the perpendicular segment from the point to the semicircle is less than r/2.

    Here, AB = r sin

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