Question

Calcule o apótema de um quadrado inscrito numa circunferência de 7√8cm

Answer 1

$\boxed{\begin{array}{l}\sf a_C=\dfrac{360^\circ}{4}=90^\circ\\\sf cos(45^\circ)=\dfrac{m}{R}\\\sf\dfrac{\sqrt{2}}{2}=\dfrac{m}{7\sqrt{8}}\\\sf m=\dfrac{7\sqrt{8}\cdot\sqrt{2}}{2}\\\\\sf m=\dfrac{7\sqrt{16}}{2}=\dfrac{7\cdot4}{2}=14~cm\end{array}}$