Question 1175100: A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem.. DO NOT SOLVE BY PIECE.
calories
Round your answer to the nearest calorie.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
I will guess that you are showing the problem exactly as it was given to you; so the blame for the awful presentation of the problem is not on you....
"Hint... must use Area = Pi*r^2 proportions to solve this problem.."
Absolutely untrue. You don't need to know the formula for the area of a circle.
"DO NOT SOLVE BY PIECE."
I won't try to guess what that means....
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The 6 inches and 12 inches are (presumably!) the diameters of the two pizzas.
Consider the two pizzas as similar figures with a ratio of similarity of 2:1. By a basic geometric principle, the ratio of the areas of the two pizzas is the square of that ratio. So the area of the 12 inch pizza is 2^2=4 times the area of the 6 inch pizza.
The number of calories in the 6 inch pizza is 590.
The number of calories in the 12 inch pizza is 590*4 = 2360.
If the 12 inch pizza is cut into 8 (equal) slices, the number of calories in one slice is 2360/8 = 295.
ANSWER: 295 calories in one slice of the 12 inch pizza.
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