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

Answer:

$\frac{27\pi }{2}$ square inches.

Step-by-step 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 = $\frac{360}{6}$

                                                                  = $60^{o}$

Given that the diameter = 18 inches, thus;

radius = $\frac{18}{2}$

          = 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}$

                                   = $\frac{60}{360}$*$\pi$*$(9)^{2}$

                                   = $\frac{1}{6}$*$\pi$*81

                                   = 13.5$\pi$ square inches

Surface area of each large pizza = $\frac{27\pi }{2}$ square inches

The surface are of one slice of the large pizza is $\frac{27\pi }{2}$ square inches.