Difference between revisions of "User:Draco"
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− | <math> | + | Blargh! |
+ | |||
+ | <math>\frac{\LaTeX^{\LaTeX_\LaTeX}}{\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX\sqrt{\LaTeX}}}}}}}</math> | ||
+ | |||
+ | <math>\ </math> <math>asdf</math> | ||
+ | |||
+ | <asy> | ||
+ | draw((0,0)--(3,4)); | ||
+ | </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 15:15, 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)
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]