Answer: 151.98 cm²
Step-by-step explanation:
[tex]Area_{\ sector}=\dfrac{r^2}{2}\cdot \theta\\\\.\qquad \qquad =\dfrac{(11)^2}{2}\cdot \dfrac{4}{5}\pi\\\\.\qquad \qquad =\dfrac{242}{5}\pi\\\\.\qquad \qquad =151.976[/tex]
The area of sector will be [tex]151.98cm^{2}[/tex].
Area of sector is [tex]=\frac{r^{2} }{2}*\theta[/tex]
Where r is radius of circle and [tex]\theta[/tex] is central angle.
Given that , [tex]r=11cm[/tex] and [tex]\theta=\frac{4 \pi}{5}[/tex]
Substituting above values.
[tex]Area=\frac{(11^{2} )}{2} *\frac{4\pi}{5}[/tex] and [tex]\pi=3.14[/tex]
[tex]Area=\frac{(11^{2} )}{2} *\frac{4*3.14}{5}\\\\Area=151.98cm^{2}[/tex]
Hence, The area of sector will be [tex]151.98cm^{2}[/tex].
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