SOLUTION: Two concentric circles are such that one circle has half the radius of the other. If a point is chosen at random inside the larger circle, then what is the the probability that it

Algebra ->  Circles -> SOLUTION: Two concentric circles are such that one circle has half the radius of the other. If a point is chosen at random inside the larger circle, then what is the the probability that it       Log On


   

Question 1129385: Two concentric circles are such that one circle has half the radius of the other. If a point is chosen at random inside the larger circle, then what is the the probability that it lands outside the smaller circle?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The probability under the question is equal to the ratio of the areas, which is, in turn, 1-1%2F4.


Answer.  3%2F4.

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Notice, it is not necessary for the circles to be concentric to get the same answer.

It is enough that the ratio of radii is 1%2F2 and the smaller circle is entirely inside the larger one.