Find the incircle radius $ r $ of a hexagon if circumcircle radius $R = 225$.
Answer
$r = \frac{ 225 \sqrt{ 3}}{ 2 }$
Explanation
STEP 1:
The side of the hexagon is equal the radius of the circumcircle. $$ a = 225 $$
STEP 2: find incircle radius $ r $
To find incircle radius $ r $ use formula:
$$ r = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ a = 225 $ we have:
$$ r = \dfrac{ \sqrt{ 3 } \cdot 225 }{ 2 } $$$$ r = \dfrac{ 225 \sqrt{ 3 } }{ 2 } $$ $$ r = \frac{ 225 \sqrt{ 3}}{ 2 } $$This page was created using
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