For this question, we want to find out the greatest amount of area of pizza for the least amount of money:
So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.
The formula for area of a circle is [tex] \pi r ^2[/tex]; So the area for one of these 10 in. pizzas would be [tex] \pi (5)^2[/tex] or 25[tex] \pi [/tex].
We have two of these pizzas, so the total area that we would get with $14 would be 25[tex] \pi [/tex]*2 or 50[tex] \pi [/tex].
For the second case, we have one pizza with a 14 in. diameter.
The area of this pizza will be [tex] \pi (7)^2[/tex] or 49[tex] \pi [/tex].
So for $15 we can buy 49[tex] \pi [/tex] worth of pizza.
The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50[tex] \pi [/tex].
