Respuesta :

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=9\\ \theta =50 \end{cases}\implies A=\cfrac{50\cdot \pi \cdot 9^2}{360}\implies A=\cfrac{45\pi }{4}[/tex]