Question

Tony love finding the area, such as pizza slices. His favorite pizza is a pepperoni with mushrooms that he can't stop talking about. The diameter is 18 inches and it is always cut into 6 slices of exactly the same size. In terms of pi, what is the surface area of one slice of the large pizza? (hint: think of the pizza as a sector you want to find the area of). Fill in your answers in the form of a fraction, aπb. You do not need to worry about pi as it is already built into the answer.

Answer 1

`(27\pi )/(2)` square inches.

Explanation:

The pizza would have a circular shape so that dividing it into 6 slices implies that there are 6 sectors.

The central angle formed by each sliced pizza =
`(360)/(6)`

=
`60^(o)`

Given that the diameter = 18 inches, thus;

radius =
`(18)/(2)`

= 9.0 inches

Since the sliced pizza now has the shape of a sector, then;

the surface area of each large pizza = (θ/360)*
`\pi`
`r^(2)`

=
`(60)/(360)`*
`\pi`*
`(9)^(2)`

=
`(1)/(6)`*
`\pi`*81

= 13.5
`\pi` square inches

Surface area of each large pizza =
`(27\pi )/(2)` square inches

The surface are of one slice of the large pizza is
`(27\pi )/(2)` square inches.