A pizza restaurant recently advertised two specials. The first special was a 14-inch pizza for $12. The second special was two 4-inch pizzas for $8. Determine the

better buy. (Hint: First compare the areas of the two specials and then find a price per square inch for both specials.)

Choose the correct answer below.

14-inch diameter pizza

two 4-inch diameter pizzas

14-inch pizza

Step-by-step explanation:

The area of a circle (or a pizza) is πr^2, if r is the radius.

For a 14-inch pizza, the radius is 14/2=7 and therefore the area is π*7^2 which is approximately 154 square inches. Therefore, the price per square inch is 12/154, or approximately 0.078 dollars per inch.

Similarly, the area of a 4-inch pizza is π*2^2 which is approximately 12.5 square inches, two 4-inch pizzas are 25, and so the price per square inch is 8/25 which is approximately 0.32 dollars per inch.

So the 14-inch pizza is the better deal.