User:Draco
Blargh!
$\frac{\LaTeX^{\LaTeX_\LaTeX}}{\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX}}}}}}}$ (Error compiling LaTeX. Unknown error_msg)
![[asy] draw((0,0)--(3,4)); [/asy]](http://latex.artofproblemsolving.com/3/5/a/35af07506293ca4ac57087fad65f2d0886594b72.png)
The closed curve in the figure is made up of 
congruent circular arcs each of length 
, where each of the centers of the corresponding circles is among the vertices of a regular hexagon of side 
. What is the area enclosed by the curve?
[asy]
draw(Arc((0,1),0.5,210,-30));
label("
",(0,1));
draw(Arc((0.865,0.5),0.5,150,270));
label("",(0.865,0.5));
draw(Arc((0.865,-0.5),0.5,90,-150));
label("",(-0.865,0.5));
label("",(0.865,-0.5));
[/asy]
