Question
Find the area $ A $ of a rhombus if side $a = 6\, \text{cm}$ and angle $\alpha = 50^o$.
Answer
$27.5776\, \text{cm}^2$
Explanation
To find area $ A $ use formula:
$$ A = \dfrac{ a \cdot a \cdot \sin( \alpha ) }{ 1 } $$After substituting $a = 6\, \text{cm}$, $a = 6\, \text{cm}$ and $\alpha = 50^o$ we have:
$$ A = \dfrac{ 6\, \text{cm} \cdot 6\, \text{cm} \cdot \sin( 50^o ) }{ 1 } $$ $$ A = \dfrac{ 6\, \text{cm} \cdot 6\, \text{cm} \cdot 0.766 }{ 1 } $$ $$ A = \dfrac{ 36\, \text{cm}^2 \cdot 0.766 }{ 1 } $$ $$ A = \dfrac{ 27.5776\, \text{cm}^2 }{ 1 } $$ $$ A \approx 27.5776\, \text{cm}^2 $$This page was created using
Rhombus Calculator