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<math> | <math> | ||
\sin \alpha = \dfrac{\dfrac{\color{Green}{ | s_w = \color{Green}{L_v} - \dfrac{\pi \color{Green}{s_h}}{3} + 2 \left(\color{Green}{s_h} - sqrt{\color{Green}{s_h}^2 - \left(\dfrac{s_h}{2}\right)^2} \right) | ||
\sin \alpha = \dfrac{\dfrac{\color{Green}{s_h}}{2}}{\color{Green}{s_h}} = \dfrac{1}{2}; \alpha = 30^\circ | |||
\\ | \\ | ||
\begin{align} | \begin{align} | ||
A_{saco} & = \left(\color{Green}{L_v} - \dfrac{\pi \color{Green}{ | A_{saco} & = \left(\color{Green}{L_v} - \dfrac{\pi \color{Green}{s_h}}{3} \right) \times \color{Green}{s_h} + 2 \left(\pi \color{Green}{s_h}^2 \times \dfrac{2\alpha}{360} - \dfrac{1}{2} \times \color{Green}{s_h} \sqrt{\color{Green}{s_h}^2 - \left(\dfrac{\color{Green}{s_h}}{2} \right)^2} \right) \\ | ||
& = \color{Green}{L_v} \color{Green}{ | & = \color{Green}{L_v} \color{Green}{s_h} - \dfrac{\pi \color{Green}{s_h}^2}{3} + 2 \left(\pi \color{Green}{s_h}^2 \times \dfrac{1}{6} - \dfrac{1}{2} \times \dfrac{\color{Green}{s_h}^2 \sqrt{3}}{2} \right) \\ | ||
& = \color{Green}{L_v} \color{Green}{ | & = \color{Green}{L_v} \color{Green}{s_h} - \dfrac{\pi \color{Green}{s_h}^2}{3} + \dfrac{\pi \color{Green}{s_h}^2}{3} - \dfrac{\color{Green}{s_h}^2 \sqrt{3}}{2} \\ | ||
& = \color{Green}{L_v} \color{Green}{ | & = \color{Green}{L_v} \color{Green}{s_h} - \color{Green}{s_h}^2 \dfrac{\sqrt{3}}{2} | ||
\end{align} | \end{align} | ||
</math> | </math> |