Answer:
[tex]area of sector=53.3 \pi[/tex]
Step-by-step explanation:
the approximate area of a sector with radius equal to 8 and measure of arc equal to 300°
The radius of a circle is 8
measure of an arc is 300 degree
Now use area of a sector formula
[tex]area=\frac{angle}{360} \cdot \pi r^2[/tex]
Replace the radius and angle value in the formula
[tex]area=\frac{300{360} \cdot \pi (8)^2[/tex]
[tex]area=\frac{5}{6} \cdot \pi (64)[/tex]
[tex]area=53.3 \pi[/tex]