Question

Calcule o lado de um quadrado regular inscrito em uma circunferência de 20 cm de raio. ( considere (`\|2= 1,41).​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Observe\,a\,figura\,que\,eu\,anexei.}\\\sf sen(45^\circ)=\dfrac{\dfrac{\ell}{2}}{r}\implies \ell=2r sen(45^\circ)\\\sf r=20~cm~~\sqrt{2}=1,41.\\\sf \ell=\diagup\!\!\!\!2\cdot20\cdot\dfrac{\sqrt{2}}{\diagup\!\!\!\!2}\\\sf \ell=20\cdot1,41\\\sf \ell=28,2~cm\\\huge\boxed{\boxed{\boxed{\boxed{\sf\red{\maltese}~\blue{alternativa~c}}}}}\end{array}}$