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

Answer:

The larger pizza is less expensive per square inch

Step-by-step 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

$\frac{7.5}{78.5}\frac{\ }{in^{2}}=0.10\frac{\ }{in^{2}}$

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

$\frac{17}{200.96}\frac{\ }{in^{2}}=0.08\frac{\ }{in^{2}}$

Therefore

The larger pizza is less expensive per square inch