The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.
Step-by-step explanation:
The given is,
A small pizza has an 8-inches in diameter
A large pizza has a 15-inches in Diameter
The small pizza cost $7
Step:1
Area of smaller pizza,
[tex]Area, A_{S} = \pi r^{2}[/tex]...................................(1)
Where, r - Radius of small pizza
From given, [tex]r=\frac{d}{2}[/tex]
[tex]= \frac{8}{2}[/tex]
r = 4 inches
Equation (1),
[tex]A_{S} = \pi 4^{2}[/tex]
[tex]=(3.14)(16)[/tex] ( ∵ [tex]\pi[/tex]=3.14 )
[tex]= 50.24[/tex] Square inches
Step:2
Area of smaller pizza,
[tex]Area, A_{L} = \pi r^{2}[/tex]...................................(1)
Where, r - Radius of small pizza
From given, [tex]r=\frac{d}{2}[/tex]
[tex]= \frac{15}{2}[/tex]
r = 7.5 inches
Equation (1),
[tex]A_{S} = \pi 7.5^{2}[/tex]
[tex]=(3.14)(56.25)[/tex] ( ∵ [tex]\pi[/tex]=3.14 )
[tex]= 176.625[/tex] Square inches
Step:3
Cost of pizza per square meter,
[tex]= \frac{Cost of small pizza}{Area of small pizza}[/tex]
[tex]=\frac{7}{50.24}[/tex]
= $ 0.1393 per square meter
[tex]Cost of Larger pizza = Area of Larger pizza[/tex] × [tex]Cost per square meter[/tex]
[tex]= (176.625)(0.139331)[/tex]
= $24.62
Result:
The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.
