Question

Two small pizzas with diameter 10 cost $15, while a large pizza with diameter of 16 cost $17 which pizza is less expensive per square inch

Answer 1

The larger pizza is less expensive per square inch

Explanation:

we know that

The area of a circle (pizza) is equal to

`A=\pi r^(2)`

step 1

Find the area of the smaller pizza

we have

`r=10/2=5\ in` ----> the radius is half the diameter

substitute

`A=(3.14)(5)^(2)=78.5\ in^(2)`

Find the price per square unit

Remember that

The price of one smaller pizza is
`\$15/2=\$7.5`

so

`(7.5)/(78.5)(\$)/(in^(2))=0.10(\$)/(in^(2))`

step 2

Find the area of the larger pizza

we have

`r=16/2=8\ in` ----> the radius is half the diameter

substitute

`A=(3.14)(8)^(2)=200.96\ in^(2)`

Find the price per square unit

so

`(17)/(200.96)(\$)/(in^(2))=0.08(\$)/(in^(2))`

Therefore

The larger pizza is less expensive per square inch