Question

O dodecágono é um polígono regular de 12 lados. O ângulo central desse polígono mede, em graus,

Answer 1

Resposta:

Explicação passo a passo:

Ac = 360/n = 360/12 = 30° ✓

Answer 2

$\large\boxed{\begin{array}{l}\underline{\rm\hat Angulo\,central\,de\,um\,pol\acute igono\,regular}\\\rm Dado\,um\,pol\acute igono\,regular\,de\,n\,lados\\\rm seu\,\hat angulo\,central\,\theta\,\acute e\,dado\,por\\\rm \theta=\dfrac{360^\circ}{n}\end{array}}$

$\large\boxed{\begin{array}{l}\rm dodec\acute agono\longrightarrow 12~lados\\\rm n=12\\\rm \theta=\dfrac{360^\circ}{n}\\\\\\rm\theta=\dfrac{360^\circ}{\!\!12}\\\\\rm\theta=30^\circ\end{array}}$