Question
Find the area $ A $ of a square if incircle radius $r = 25000\, \text{mm}$.
Answer
$156250000\, \text{mm}^2$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ r = 2 \cdot a $$After substituting $r = 25000\, \text{mm}$ we have:
$$ 25000\, \text{mm} = 2 \cdot a $$ $$ a = \dfrac{ 25000\, \text{mm} }{ 2 } $$ $$ a = 12500\, \text{mm} $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = a^2 $$After substituting $a = 12500\, \text{mm}$ we have:
$$ A = \left( 12500\, \text{mm} \right)^{2} $$ $$ A = 156250000\, \text{mm}^2 $$This page was created using
Square Calculator