[tex]\displaystyle\bf\\Folosim~teorema~sinusurilor.\\\\\frac{EF}{sin~D}=2R\\\\ EF = 4~cm\\\\R=2\sqrt{2}~cm\\\\ m(\sphericalangle D)~este~necunoscuta~in~aceasta~ecuatie.\\\\Unghiul~este~ascutit.\\\implies~D\in~Cadran~1\\Rezolvare:\\\\\frac{EF}{sin~D}=2R\\\\\frac{EF}{sin~D}=2R\\\\sin~D=\frac{EF}{2R}\\\\sin~D=\frac{4}{2\times2\sqrt{2}}\\\\sin~D=\frac{4}{4\sqrt{2}}\\\\sin~D=\frac{1}{\sqrt{2}}\\\\sin~D=\frac{\sqrt{2}}{2}\\\\\implies~\boxed{\bf~m(\sphericalangle D)=45^o}[/tex]
