2006 AIME I Problems/Problem 10
Problem
Eight circles of diameter 1 are packed in the first quadrant of the coordinte plane as shown. Let region 
be the union of the eight circular regions. Line 
with slope 3, divides into two regions of equal area. Line 
's equation can be expressed in the form 
where 
and 
are positive integers whose greatest common divisor is 1. Find 
Solution
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The equation of the line turns out to be 
, so the solution is 
.
See also
| 2006 AIME I (Problems • Answer Key • Resources) | ||
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Followed by Problem 11 | |
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