Question

A pizza is 16 inches in diameter. Each square inch of pizza has 12.54 calories. If each slice contains about 280 calories, how many slices is the pizza cut into? Show all work!!

Answer 1

Explanation:

First we determine the area (in square inches) of a 16" diameter pizza.

The radius of such a pizza is half that, or 8". Thus,

A = π(8 ")² = 64π in², or approx. 201 in².

Since the calorie content of each square inch is 12.54, the calorie content of the entire pizza is (12.54 cal/in²)(201 in²2), or 2421 calories.

Given that each slice contains about 280 calories, we divide 280 cal/slice into 2412 cal, obtaining

2412 calories

----------------------------- = 8.6

280 calories/slice

The pizza can be cut into 8 full 280-calorie slices, with about 6/10 of a slice left over.