Find the side $ a $ of a hexagon if area $A = 1$.
Answer
$a = 0.6204$
Explanation
To find side $ a $ use formula:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 }$$After substituting $ A = 1 $ we have:
$$ 1 = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 }$$ $$ 1 \cdot 2 = 3 \sqrt{ 3 } \cdot a^2 $$ $$ 2 = 3 \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 2 }{ 3 \sqrt{ 3 } } $$ $$ a^2 = \frac{ 2 \sqrt{ 3}}{ 9 } $$ $$ a = \sqrt{ \frac{ 2 \sqrt{ 3}}{ 9 } } $$$$ a \approx 0.6204 $$This page was created using
Hexagon Calculator