Difference between revisions of "Dodecagon"
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pair O = (dir(360/12*0)+dir(360/12*6))/2; | pair O = (dir(360/12*0)+dir(360/12*6))/2; | ||
label("O",O,S); | label("O",O,S); | ||
− | draw(A-- | + | draw(A--O); |
draw(Circle(O,1)); | draw(Circle(O,1)); | ||
</asy> | </asy> | ||
− | The area of a regular dodecagon can be calculated by the formula <math>3R^2</math>, where <math>R</math> is the circumradius of the dodecagon. In this case, <math>R</math> would be <math>OA</math>. | + | The area of a regular dodecagon can be calculated by the formula <math>3R^2</math>, where <math>R</math> is the circumradius of the dodecagon. In this case, <math>R</math> would be <math>OA</math>. Also, each small triangle (<math>AOB</math>, <math>BOC</math>, etc.) is congruent, so <math>\angle AOB=\angle BOC=\angle COD</math> (etc) <math>=30^{\circ}</math>. |
==See Also== | ==See Also== |
Revision as of 12:07, 15 June 2018
A dodecagon is a 12-sided polygon. The sum of its internal angles is .
A regular dodecagon can be seen below:
The area of a regular dodecagon can be calculated by the formula , where is the circumradius of the dodecagon. In this case, would be . Also, each small triangle (, , etc.) is congruent, so (etc) .
See Also
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