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Answer:
[tex]\frac{27\pi }{2}[/tex] 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 = [tex]\frac{360}{6}[/tex]
= [tex]60^{o}[/tex]
Given that the diameter = 18 inches, thus;
radius = [tex]\frac{18}{2}[/tex]
= 9.0 inches
Since the sliced pizza now has the shape of a sector, then;
the surface area of each large pizza = (θ/360)* [tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{60}{360}[/tex]*[tex]\pi[/tex]*[tex](9)^{2}[/tex]
= [tex]\frac{1}{6}[/tex]*[tex]\pi[/tex]*81
= 13.5[tex]\pi[/tex] square inches
Surface area of each large pizza = [tex]\frac{27\pi }{2}[/tex] square inches
The surface are of one slice of the large pizza is [tex]\frac{27\pi }{2}[/tex] square inches.