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<math> | <math> | ||
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) | 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{\color{Green}{s_h}}{2} \right)^2} \right) | ||
= \color{Green}{L_v} - \dfrac{\pi \color{Green}{s_h}}{3} + 2 \left(\color{Green}{s_h} - \color{Green}{s_h} \dfrac{\sqrt{3}}{2} \right) | = \color{Green}{L_v} - \dfrac{\pi \color{Green}{s_h}}{3} + 2 \left(\color{Green}{s_h} - \color{Green}{s_h} \dfrac{\sqrt{3}}{2} \right) | ||
= \color{Green}{L_v} + \color{Green}{s_h} \left( 2 - \dfrac{\sqrt{3}}{2} - \dfrac{\pi}{3} \right) | = \color{Green}{L_v} + \color{Green}{s_h} \left( 2 - \dfrac{\sqrt{3}}{2} - \dfrac{\pi}{3} \right) |