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
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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) (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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