Find the incircle radius $ r $ of a hexagon if side $a = \frac{ 23 }{ 20 }$.
Answer
$r = \frac{ 23 \sqrt{ 3}}{ 40 }$
Explanation
To find incircle radius $ r $ use formula:
$$ r = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ a = \frac{ 23 }{ 20 } $ we have:
$$ r = \dfrac{ \sqrt{ 3 } \cdot \frac{ 23 }{ 20 } }{ 2 } $$$$ r = \dfrac{ \frac{ 23 \sqrt{ 3}}{ 20 } }{ 2 } $$ $$ r = \frac{ 23 \sqrt{ 3}}{ 40 } $$This page was created using
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