Question

Can you please help me out with a question

Answer 1

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:

`A_{\text{sector}}=(\theta\cdot\pi\cdot r^2)/(360)`

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.

`r=(d)/(2)=(16)/(2)=8\text{ in}`

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.

`A_{\text{sector}}=(45\cdot3.14159\cdot8^2)/(360)=25.133\text{ square inches}`

The correct alternative is H. The slice has 25.133 square inches of area.