Answer:
The area of the sector is 316.78 [tex]inches^2[/tex]
Step-by-step explanation:
Given the radius of the circle is 11 inches
We know that the area of the circle is=π[tex]r^2[/tex]
Area of the circle= π[tex]11^2[/tex] = 121π [tex]inches^2[/tex]
Now this is the area of the total circle which covers all the 360°.
Now we should find the area of the sector which covers 300°.
360°---->121π [tex]inches^2[/tex]
300°----->x [tex]inches^2[/tex]
By cross multiplication we get [tex]x=\frac{300}{360}* 121[/tex]π
x=316.78 [tex]inches^2[/tex]
