Find the circumcircle radius $ R $ of a square if area $A = 8$.
Answer
$R = 2$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ A = 8 $ we have:
$$ A = a^2 $$ $$ a^2 = 8 $$ $$ a = \sqrt{ 8 } $$ $$ a = 2 \sqrt{ 2 } $$STEP 2: find circumradius $ R $
To find circumradius $ R $ use formula:
$$ R = \dfrac{ \sqrt{ 2 } \cdot a }{ 2 } $$After substituting $ a = 2 \sqrt{ 2 } $ we have:
$$ R = \dfrac{ \sqrt{ 2 } \cdot 2 \sqrt{ 2 } }{ 2 } $$$$ R = \dfrac{ 4 }{ 2 } $$ $$ R = 2 $$This page was created using
Square Calculator