To find the length of the crust along the edges that are cut when a 24-inch pizza is divided into 12 equal slices, we first need to 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:
\[ C = \pi \times 24 \approx 75.4 \text{ inches} \]
Next, since the pizza is cut into 12 equal pieces, each piece will have a certain angle at the center. The angle for each slice can be calculated as:
\[ \text{angle per slice} = \frac{360^\circ}{12} = 30^\circ \]
The edges of each of the 12 slices will connect to the center of the pizza, forming the cut. However, the total crust length that has been cut will be equal to the length of the circumferential crust that the cuts pass through.
Since every slice shares the crust with neighboring slices, the total length of the cut crust is simply the total circumference of the pizza, which is:
\[ \text{Total cut crust length} = C = 75.4 \text{ inches} \]
Thus, the length of the crust along the edges that are cut is approximately 75.4 inches.
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