Question

A 12-inch diameter pizza has 22 calories per square inch.

About how many calories are in the entire pizza?

Use 3.14 for pi.

Select from the drop-down menu to correctly complete the statement.
There are about calories in the pizza.

Answer 1

To find out how many calories are in the entire pizza, we first need to calculate the area of the pizza. The pizza is in the shape of a circle, so we can use the formula for the area of a circle:

\[
\text{Area} = \pi r^2
\]

Since the diameter of the pizza is 12 inches, the radius \( r \) is half of that:

\[
r = \frac{12}{2} = 6 \text{ inches}
\]

Now we can calculate the area:

\[
\text{Area} = 3.14 \times (6)^2 = 3.14 \times 36 = 113.04 \text{ square inches}
\]

Now that we have the area, we can calculate the total calories in the pizza by multiplying the area by the calories per square inch:

\[
\text{Total Calories} = \text{Area} \times \text{Calories per square inch}
\]
\[
\text{Total Calories} = 113.04 \text{ sq in} \times 22 \text{ calories/sq in} = 2486.88 \text{ calories}
\]

Rounding this to the nearest whole number, we find that there are about **2487 calories** in the pizza.

So, the completed statement would be:
"There are about **2487** calories in the pizza."