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07-11-2017
Mathematics

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Find the perimeter of a regular dodecagon whose vertices are twelve equally spaced points on the unit circle.

Respuesta :

07-11-2017

The vertex angle of any triangle of the dodecagon formed by radii and a side is 360/12=30º.
The half-length of the base of the triangle is sin15=0.2588 approx.
Since there are 12 sides there are 24 half-sides in the perimeter=6.2117.

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