Question

Patsy’s pizza sells one 20-inch cheese pizza or two 12-inch cheese pizzas for 11.99. Determine which size gives more pizza (A= 3.14r^2)

Answer 1

Since 20-inch pizza, means it is a circle with a diameter of 20 inches

Since the diameter is twice the radius, then

The raduis = 20/2 = 10 inches

Then the area of it is

`\begin{gathered} A_1=\pi(r)^2 \\ A_1=3.14(10)^2 \\ A_1=3.14(100) \\ A_1=314 \end{gathered}`

The area of the first pizza is 314 square inches

Since the diameter of the other area is 12 inches, then

The radius = 12/2 = 6 inches

Then the area of it is

`\begin{gathered} A_2=3.14(6)^2 \\ A_2=3.14(36) \\ A_2=113.04 \end{gathered}`

Then the area of the second pizza is 113.04 x 2 = 226.08 square inches

Since the area of the first offer is greater than the area of the second offer, then

The first size gives more pizza