Solution:
To find the area, A, of a sector, the formula is
[tex]A=\frac{\theta}{360\degree}\times\pi r^2[/tex]
Given that;
[tex]\begin{gathered} r=2.5\text{ feet} \\ \theta=315\degree \end{gathered}[/tex]
Substitute the values of the variables into the formula above
[tex]\begin{gathered} A=\frac{315\degree}{360\degree}\times\pi\times2.5^2 \\ A=17.18\text{ }ft^2\text{ \lparen two decimal places\rparen} \end{gathered}[/tex]
Hence, the answer is 17.18 ft² (two decimal places)
