The diagram shows a regular dodecagon and a square, whose vertices are also vertices of the dodecagon.
Find the value of the ratio
area of square: area of dodecagon
[UKMT Hamilton Olympiad , H]
Easy Math Editor
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2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
You have until next Saturday, 3:00pm!
This is the method I used to solve it, then when I checked the solutions for UKMT, it seems my method and answer were correct, so instead of wasting my time to write a solution, I'll just post a pic here.
Solution -
Troll Solution, because there is no solution
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I'm the one that's supposed to post the official solution, not you!
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lol ok, I'll delete it :P