Find the area $ A $ of a rhombus if side $a = 11.3137$ and angle $\alpha = 45^o$.
Answer
$A = 90.5097$
Explanation
To find area $ A $ use formula:
$$ A = \dfrac{ a \cdot a \cdot \sin( \alpha ) }{ 1 } $$After substituting $ a = 11.3137 $ , $ a = 11.3137 $ and $ \alpha = 45^o $ we have:
$$ A = \dfrac{ 11.3137 \cdot 11.3137 \cdot \sin( 45^o ) }{ 1 } $$ $$ A = \dfrac{ 11.3137 \cdot 11.3137 \cdot \frac{\sqrt{ 2 }}{ 2 } }{ 1 } $$ $$ A = \dfrac{ 128 \cdot \frac{\sqrt{ 2 }}{ 2 } }{ 1 } $$ $$ A = \dfrac{ 90.5097 }{ 1 } $$ $$ A \approx 90.5097 $$This page was created using
Rhombus Calculator