Answer:
To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.
The area of a circle is given by the formula πr^2, where r is the radius.
The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.
The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.
The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.
So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.
If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.
Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.