1976 AHSME Problems/Problem 8
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In order for the coordinates to have absolute values less than 
, the points must lie in the 
by square passing through the points 
and 
.
For the points to be at most 
units from the origin, the points must lie in a circle of radius centered at the origin. Thus, the probability is the area of the circle over the area of the square, or
![\[\frac{2^2 \pi}{8^2} = \frac{4 \pi}{64} = \frac{\pi}{16}\]](http://latex.artofproblemsolving.com/2/4/e/24ee483faa9afa0af224b91a1268959d6c7a0717.png)
~JustinLee2017
