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3 years ago

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

quare inch

1 answer:

Reika [66]3 years ago

7 0

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

<em>Find the area of the smaller pizza</em>

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

<em>Find the area of the larger pizza</em>

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

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