SOLUTION: 14. There is a point in a circle. What is the probability that this point is closer to its circumference than to the centre? plz send me ques and ans with explanation

Algebra ->  Probability-and-statistics -> SOLUTION: 14. There is a point in a circle. What is the probability that this point is closer to its circumference than to the centre? plz send me ques and ans with explanation      Log On


   



Question 828014: 14. There is a point in a circle. What is the probability that this point is closer to its circumference than to the centre?
plz send me ques and ans with explanation

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There is a point in a circle. What is the probability that this point is closer to its circumference than to the centre?
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Let the radius of the circle be "r".
Total area of the circle = pi*r^2
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Radius of the circle with the same center and radius = r/2.
Area of this smaller circle is pi(r/2)^2 = (1/4)pi*r^2
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Area between the smaller and the larger circle is (3/4)pi*r^2
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P(closer to circumference then to center) = (3/4)
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Cheers,
Stan H.
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