Question
Find the area $ A $ of a hexagon if circumcircle radius $R = 1.5\, \text{cm}$.
Answer
$5.8457\, \text{cm}^2$
Explanation
STEP 1:
The side of the hexagon is equal the radius of the circumcircle. $$ a = 1.5 $$
STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 } $$After substituting $a = 1.5\, \text{cm}$ we have:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot \left( 1.5\, \text{cm} \right)^{2} }{ 2 } $$ $$ A = \dfrac{ 3 \sqrt{ 3 } \cdot 2.25\, \text{cm}^2 }{ 2 }$$ $$ A = \dfrac{ 11.6913\, \text{cm}^2 }{ 2 }$$ $$ A = 5.8457\, \text{cm}^2 $$This page was created using
Hexagon Calculator