Question

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. If the small pizza cost $7, how much does the large pizza cost?

Answer 1

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.

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,

`Area, A_(S) = \pi r^(2)`...................................(1)

Where, r - Radius of small pizza

From given,
`r=(d)/(2)`

`= (8)/(2)`

r = 4 inches

Equation (1),

`A_(S) = \pi 4^(2)`

`=(3.14)(16)` ( ∵
`\pi`=3.14 )

`= 50.24` Square inches

Step:2

Area of smaller pizza,

`Area, A_(L) = \pi r^(2)`...................................(1)

Where, r - Radius of small pizza

From given,
`r=(d)/(2)`

`= (15)/(2)`

r = 7.5 inches

Equation (1),

`A_(S) = \pi 7.5^(2)`

`=(3.14)(56.25)` ( ∵
`\pi`=3.14 )

`= 176.625` Square inches

Step:3

Cost of pizza per square meter,

`= (Cost of small pizza)/(Area of small pizza)`

`=(7)/(50.24)`

= $ 0.1393 per square meter

`Cost of Larger pizza = Area of Larger pizza` ×
`Cost per square meter`

`= (176.625)(0.139331)`

= $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.