Question

qual a formula para calcular a medida do ângulo interno de um octógono regular ?

Answer 1

$\large\begin{array}{l} \textsf{Considere um pol\'igono regular com n lados.}\\\\ \textsf{Chamemos }{\theta_\mathsf{i}}\textsf{ a medida de um dos \^angulos internos deste}\\\textsf{pol\'igono regular.}\\\\\ \textsf{A f\'ormula que fornece a medida do \^angulo interno \'e}\\\\ \boxed{\begin{array}{c}\mathsf{\theta_i=180^\circ-\dfrac{360^\circ}{n}} \end{array}} \end{array}$


$\large\begin{array}{l} \textsf{Para um oct\'ogono regular (oito lados), temos}\\\\ \mathsf{n=8}\\\\\\ \textsf{e a medida do \^angulo interno \'e}\\\\ \mathsf{\theta_i=180^\circ-\dfrac{360^\circ}{8}}\\\\ \mathsf{\theta_i=180^\circ-45^\circ}\\\\ \boxed{\begin{array}{c}\mathsf{\theta_i=135^\circ} \end{array}} \end{array}$


$\large\begin{array}{l} \textsf{D\'uvidas? Comente.}\\\\\\ \textsf{Bons estudos! :-)} \end{array}$