Question
Find the side $ a $ of a square if circumcircle radius $R = 8 \sqrt{ 2 }\, \text{cm}$.
Answer
$16\, \text{cm}$
Explanation
To find side $ a $ use formula:
$$ R = \dfrac{ \sqrt{ 2 } \cdot a }{ 2 } $$After substituting $R = 8 \sqrt{ 2 }\, \text{cm}$ we have:
$$ 8 \sqrt{ 2 }\, \text{cm} = \dfrac{ \sqrt{ 2 } \cdot a }{ 2 } $$ $$ \sqrt{ 2 } \cdot a = 8 \sqrt{ 2 }\, \text{cm} \cdot 2 $$ $$ \sqrt{ 2 } \cdot a = 16 \sqrt{ 2 }\, \text{cm} $$ $$ a = \dfrac{ 16 \sqrt{ 2 }\, \text{cm} }{ \sqrt{ 2 } } $$ $$ a = 16\, \text{cm} $$This page was created using
Square Calculator