Question
Find the circumcircle radius $ R $ of a hexagon if long diagonal $d = 19\, \text{cm}$.
Answer
$\dfrac{ 19 }{ 2 }\, \text{cm}$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ d = 2 \cdot a $$After substituting $d = 19\, \text{cm}$ we have:
$$ 19\, \text{cm} = 2 \cdot a $$ $$ a = \dfrac{ 19\, \text{cm} }{ 2 } $$ $$ a = \frac{ 19 }{ 2 }\, \text{cm} $$STEP 2:
The radius of the circumcircle is equal the side of the hexagon. $$ R = \frac{ 19 }{ 2 } $$
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