Find the incircle radius $ r $ of a hexagon if circumcircle radius $R = 30$.
Answer
$r = 15 \sqrt{ 3 }$
Explanation
STEP 1:
The side of the hexagon is equal the radius of the circumcircle. $$ a = 30 $$
STEP 2: find incircle radius $ r $
To find incircle radius $ r $ use formula:
$$ r = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ a = 30 $ we have:
$$ r = \dfrac{ \sqrt{ 3 } \cdot 30 }{ 2 } $$$$ r = \dfrac{ 30 \sqrt{ 3 } }{ 2 } $$ $$ r = 15 \sqrt{ 3 } $$This page was created using
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