Given:
Radius = 111 ft
θ = 150 degrees
Let's find the correct proportion to use to solve for the sector area.
To find the area of the sector, apply the formula:
[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]
Where:
θ = 150 degrees
r = 11 ft
Let π = 3.14
Thus, we have:
[tex]A=\frac{150}{360}\times3.14\times11^2[/tex]
Now, let A = x.
[tex]x=\frac{150}{360}\times3.14\times11^2[/tex]
Divide both sides by (3.14 x 11²):
[tex]\begin{gathered} \frac{x}{3.14\times11^2}=\frac{\frac{150}{360}\times3.14\times11^2}{3.14\times11^2} \\ \\ \frac{x}{3.14\times11^2}=\frac{150}{360} \end{gathered}[/tex]
Therefore, the correct proportion to use to solve the sector area is:
[tex]\frac{x}{3.14\times11^2}=\frac{150}{360}[/tex]
ANSWER:
[tex]\frac{x}{3.14\times11^2}=\frac{150}{360}[/tex]
