Difference between revisions of "User:Draco"
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<math>\frac{\LaTeX^{\LaTeX_\LaTeX}}{\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX}}}}}}}</math> | <math>\frac{\LaTeX^{\LaTeX_\LaTeX}}{\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX}}}}}}}</math> | ||
| + | |||
| + | <math>\ </math> <math>asdf</math> | ||
| + | |||
<asy> | <asy> | ||
draw((0,0)--(3,4)); | draw((0,0)--(3,4)); | ||
</asy> | </asy> | ||
| + | |||
| + | The closed curve in the figure is made up of <math>9</math> congruent circular arcs each of length <math>\dfrac{2\pi}{3}</math>, where each of the centers of the corresponding circles is among the vertices of a regular hexagon of side <math>2</math>. What is the area enclosed by the curve? | ||
| + | |||
| + | [asy] | ||
| + | draw(Arc((0,1),0.5,210,-30)); | ||
| + | label("<math>\circ</math>",(0,1)); | ||
| + | draw(Arc((0.865,0.5),0.5,150,270)); | ||
| + | label("<math>\circ</math>",(0.865,0.5)); | ||
| + | draw(Arc((0.865,-0.5),0.5,90,-150)); | ||
| + | label("<math>\circ</math>",(-0.865,0.5)); | ||
| + | label("<math>\circ</math>",(0.865,-0.5)); | ||
| + | [/asy] | ||
Latest revision as of 14:15, 8 February 2012
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]
