2012 UNCO Math Contest II Problems/Problem 7
Revision as of 21:22, 19 October 2014 by Timneh (talk | contribs) (moved 2012 UNC Math Contest II Problems/Problem 7 to 2012 UNCO Math Contest II Problems/Problem 7: disambiguation of University of Northern Colorado with University of North Carolina)
Problem
A circle of radius 
is externally tangent to a circle of radius 
and both circles are tangent to a line. Find the area of the shaded
region that lies between the two circles and the line.
![[asy] draw((-1,-1)--(7,-1),black); filldraw((0,-1)--(0,0)--(2*sqrt(3),2)--(2*sqrt(3),-1)--cycle,grey); filldraw(circle((0,0),1),white); filldraw(circle((2*sqrt(3),2),3),white); [/asy]](http://latex.artofproblemsolving.com/2/1/7/217135aee72ffa973880c2216bf966bda2b48c44.png)
