document.write( "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.\r
\n" ); document.write( "\n" ); document.write( " calories\r
\n" ); document.write( "\n" ); document.write( "Round your answer to the nearest calorie.
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Algebra.Com's Answer #800664 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "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....

\n" ); document.write( "\"Hint... must use Area = Pi*r^2 proportions to solve this problem..\"

\n" ); document.write( "Absolutely untrue. You don't need to know the formula for the area of a circle.

\n" ); document.write( "\"DO NOT SOLVE BY PIECE.\"

\n" ); document.write( "I won't try to guess what that means....

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\n" ); document.write( "The 6 inches and 12 inches are (presumably!) the diameters of the two pizzas.

\n" ); document.write( "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.

\n" ); document.write( "The number of calories in the 6 inch pizza is 590.
\n" ); document.write( "The number of calories in the 12 inch pizza is 590*4 = 2360.
\n" ); document.write( "If the 12 inch pizza is cut into 8 (equal) slices, the number of calories in one slice is 2360/8 = 295.

\n" ); document.write( "ANSWER: 295 calories in one slice of the 12 inch pizza.

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