Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 1"
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m (moved 2013 UNC Math Contest II Problems/Problem 1 to 2013 UNCO Math Contest II Problems/Problem 1: disambiguation of University of Northern Colorado with University of North Carolina) |
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Revision as of 17:24, 19 October 2014
Problem
![[asy] filldraw((-4,-3)--(-4,3)--(4,3)--(4,-3)--cycle,grey); filldraw(circle((-4,0),3),white); filldraw(circle((4,0),3),white); draw((-7,3)--(7,3),black); draw((-7,-3)--(7,-3),black); [/asy]](http://latex.artofproblemsolving.com/c/e/5/ce5a7d2dddce5c0d8880196cb2f63aa28e94203e.png)
In the diagram, the two circles are tangent to the two parallel lines. The
distance between the centers of the circles is 
, and both circles have
radius 
. What is the area of the shaded region between the circles?
