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Question

A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14 inch pizza. Round your answer to the nearest calorie.

Answer 1

Area = pi * diameter^2/4

= pi * radius^2

6 inch diameter ---> 3 inch radius

Area = pi * 9 square inches, having 590 calories, 240 from fat.

14 inch pizza --> 7 inch radius

Area = pi * 49 square inches...

dividing by 8, the area of each slice is pi * 49/8 square inches...

Setting up the proprtion: Area : calories , or area/calories

pi*9 pi*49/8 area

-------- = --------- = --------

590 ? calories

cross multiplies:

pi * 9 * ? = pi * 49/8 * 590

pi cancels; divides both sides by 9....

? = 49/8 * 590/9

= 28910 / 72

= 14455/36

= 402