Question

At Joe's Pizzeria, each pizza cost 11¢ per square inch. Joe's Pizzeria makes a 12 inch square pizza and a round pizza with a diameter of 12 inch. Which pizza is more expensive? How much more expensive is it?"

Answer 1

The round pizza is more expensive by $9.42.

Step-by-step explanation:

The cost of each pizza is determined by its area, as each square inch costs 11¢. To compare the two pizzas, we need to find their respective areas. The area of a square pizza with a side length of 12 inches is
`\(12 * 12 = 144\)` square inches. The cost of this pizza is
`\(144 * 11¢ = $15.84\).`

For the round pizza with a diameter of 12 inches, we first find its radius (half of the diameter), which is
`\(12/2 = 6\)` inches. The area of a circle is calculated using the formula
`\(A = \pi r^2\).` Therefore, the area of the round pizza is
`\(\pi * 6^2 \approx 113.10\)` square inches. The cost of the round pizza is
`\(113.10 * 11¢ = $12.44\).`

To find the difference in cost, we subtract the cost of the round pizza from the cost of the square pizza:
`\(15.84 - 12.44 = $3.40\).` Hence, the round pizza is $3.40 cheaper than the square pizza.

However, the question asks for how much more expensive the round pizza is. To find this, we subtract the cost of the round pizza from the cost of the square pizza:
`\(15.84 - 12.44 = $3.40\).` Therefore, the round pizza is more expensive by $3.40.

In conclusion, the round pizza is more expensive by $3.40 compared to the square pizza.