Question

If a pizza with a 24-inch diameter is cut into 12 equal pieces, then what is the length of the crust along the edges that are cut?

___

Answer 1

To find the length of the crust along the edges that are cut when a pizza with a 24-inch diameter is cut into 12 equal pieces, we can follow these steps:

1. **Calculate the circumference of the pizza:**
The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi \times d
\]
where \( d \) is the diameter. For a pizza with a 24-inch diameter, the circumference is:
\[
C = \pi \times 24
\]

2. **Evaluate the circumference:**
Using the approximation \( \pi \approx 3.14 \), we can calculate:
\[
C \approx 3.14 \times 24 \approx 75.36 \text{ inches}
\]

3. **Determine the cut segments:**
When the pizza is cut into 12 equal pieces, each slice will have two edges along the circumference. Since there are 12 slices, the total number of cut edges is 12.

4. **Calculate the total length of cut crust:**
The total length of the crust along the edges that are cut is equal to the circumference of the pizza, which we calculated earlier. Thus:
\[
\text{Length of cut crust} = C = 75.36 \text{ inches}
\]

Therefore, the length of the crust along the edges that are cut is approximately \( \boxed{75.36} \) inches.