The area of a sector is given to be:
[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]
From the question, we have the following parameters:t
[tex]\begin{gathered} \theta=45\degree \\ r=1\text{ ft} \end{gathered}[/tex]
Therefore, the area will be:
[tex]\begin{gathered} A=\frac{45}{360}\times\pi\times1^2 \\ A=0.393 \end{gathered}[/tex]
The area is 0.393 square feet.
