Question 1175100
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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....<br>
"Hint... must use Area = Pi*r^2 proportions to solve this problem.."<br>
Absolutely untrue.  You don't need to know the formula for the area of a circle.<br>
"DO NOT SOLVE BY PIECE."<br>
I won't try to guess what that means....<br>
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The 6 inches and 12 inches are (presumably!) the diameters of the two pizzas.<br>
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.<br>
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.<br>
ANSWER: 295 calories in one slice of the 12 inch pizza.<br>