How many pepperoni slices should Kim put on a pizza with a diameter of 16 inches?

To determine how many pepperoni slices Kim should put on a 16-inch pizza, we first need to understand how the number of slices can be estimated based on the pizza's area and the typical spacing of the pepperoni slices.

The area of a pizza can be calculated using the formula for the area of a circle, which is (A = \pi r^2). For a pizza with a diameter of 16 inches, the radius is half of that, or 8 inches. Plugging this into the formula gives us:

[

A = \pi (8)^2 = \pi (64) \approx 200.96 \text{ square inches}

]

Next, it's common practice to place pepperoni slices at a certain density, typically around 4 slices per square foot (which is 144 square inches) or based on personal preference. In approximation, if you fit about 3-4 slices per square foot, one can calculate the number of slices based on the area.

If we convert square inches to square feet:

[

\text{Area in square feet} = \frac{200.96}{144} \approx 1.39 \text{ square feet}

]

Now estimating using