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BigorU [14]
1 year ago
12

A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o

f calories in one slice of a 12 inch pizza. Must use Pi*r2 proportions to solve.
Mathematics
1 answer:
MissTica1 year ago
4 0

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

A=\pi(3)^2=9\pi

For the pizza of 12 inch

A=\pi(6)^2=36\pi

Number calories in a 6-inch pizza = 640 calories, therefore:

\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}

Substitute:

\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}

And solve for x:

\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}

Now, Estimate the number of calories in one slice of a 12 inch pizza:

\frac{2560}{8}=320

Answer: 320 calories

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