Question
Find the area $ A $ of a hexagon if side $a = 6\, \text{cm}$.
Answer
$54 \sqrt{ 3 }\, \text{cm}^2$
Explanation
To find area $ A $ use formula:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 } $$After substituting $a = 6\, \text{cm}$ we have:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot \left( 6\, \text{cm} \right)^{2} }{ 2 } $$ $$ A = \dfrac{ 3 \sqrt{ 3 } \cdot 36\, \text{cm}^2 }{ 2 }$$ $$ A = \dfrac{ 108 \sqrt{ 3 }\, \text{cm}^2 }{ 2 }$$ $$ A = 54 \sqrt{ 3 }\, \text{cm}^2 $$This page was created using
Hexagon Calculator