Mathematics: 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.

The answer is 65! Just took the test...

Tony love finding the area, such as pizza slices.

miguel454545

03.05.2021

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

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