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Crank
3 years ago
10

Tony love finding the area, such as pizza slices. His favorite pizza is a pepperoni with mushrooms that he can't stop talking ab

out. 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.
Mathematics
1 answer:
Lorico [155]3 years ago
8 0

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)* \pir^{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.

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