SOLUTION: A point is chosen at random from within a circular region. what is the probability that the point is closer to the center of the region than it is to the boundary of the region.

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Question 321369: A point is chosen at random from within a circular region. what is the probability that the point is closer to the center of the region than it is to the boundary of the region.
A 1/4 B 1/3 C 1/2 D 2/3 E 3/4
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the entire circle is pi%2Ar%5E2.
In order to be closer to the center than the boundary, the point will have to fall past the halfway point toward the center.
The circle that lies inside the larger circle has radius r/2.
Its area is pi%2A%28r%2F2%29%5E2
So, we have %28pi%2A%28r%2F2%29%5E2%29%2F%28pi%2Ar%5E2%29=1%2F4