Respuesta :

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]