To solve this problem we need to find the area of the circular sector that represents the slice. To do that we will use the following expression:
[tex]A_{\text{sector}}=\frac{\theta\cdot\pi\cdot r^2}{360}[/tex]Where theta is the angle for the sector and r is the radius for the circle. To find the radius we need to divide the diameter by 2.
[tex]r=\frac{d}{2}=\frac{16}{2}=8\text{ in}[/tex]The radius of this pizza is equal to 8 inches and the angle for the sector is 45 degrees. Applying this data on the expression above we can find the area for the slice.
[tex]A_{\text{sector}}=\frac{45\cdot3.14159\cdot8^2}{360}=25.133\text{ square inches}[/tex]The correct alternative is H. The slice has 25.133 square inches of area.
