Question
Find the incircle radius $ r $ of a square if area $A = 8\, \text{cm}$.
Answer
$4 \sqrt{ 2 }$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $A = 8\, \text{cm}$ we have:
$$ A = a^2 $$ $$ a^2 = 8\, \text{cm} $$ $$ a = \sqrt{ 8\, \text{cm} } $$ $$ a = 2 \sqrt{ 2 } $$STEP 2: find incircle radius $ r $
To find incircle radius $ r $ use formula:
$$ r = 2 \cdot a $$After substituting $a = 2 \sqrt{ 2 }\, \text{cm}^0$ we have:
$$ r = 2 \cdot 2 \sqrt{ 2 } $$ $$ r = 4 \sqrt{ 2 } $$This page was created using
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