24. How much larger is a pizza made in a 16-in square pizza pan than a pizza made in a 16-in diameter circular pan?
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To find the area of the square pizza, you need to calculate \(16 \text{ in} \times 16 \text{ in} = 256 \text{ in}^2\). For the circular pizza, the area is found with the formula \(\pi r^2\) where the radius \(r = 8 \text{ in}\) (half of the 16-inch diameter), giving an area of \(\pi \times 8^2 \approx 201.06 \text{ in}^2\). Subtract the circular pizza area from the square pizza area: \(256 \text{ in}^2 - 201.06 \text{ in}^2 \approx 54.94 \text{ in}^2\). Therefore, the square pizza is roughly 54.94 square inches larger! So, when you're deciding between a square or a circular pizza, remember that those corners of the square give you extra deliciousness, adding up to almost 55 square inches more pizza goodness! Just think of all that extra cheesy goodness waiting to be devoured!
