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1996 AJHSME Problem 25

Source:

July 10, 2011
probabilitysymmetryratiogeometryAMC

Problem Statement

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\text{(A)}\ 1/4 \qquad \text{(B)}\ 1/3 \qquad \text{(C)}\ 1/2 \qquad \text{(D)}\ 2/3 \qquad \text{(E)}\ 3/4
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