To find the length of the crust along the edges of the pieces that are cut, we first need to determine the circumference of the entire pizza, as the crust is along the edge.
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Calculate the radius of the pizza: The diameter of the pizza is 24 inches, so the radius \( r \) is half of the diameter: \[ r = \frac{24}{2} = 12 \text{ inches} \]
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Calculate the circumference of the pizza: The formula for the circumference \( C \) of a circle is: \[ C = 2\pi r \] Substituting the radius: \[ C = 2\pi(12) = 24\pi \text{ inches} \]
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Calculate the length of the crust for one slice: Since the pizza is cut into 12 equal slices, each slice will have a crust length equal to: \[ \text{Length of crust per slice} = \frac{C}{12} = \frac{24\pi}{12} = 2\pi \text{ inches} \]
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Calculate the total length of the crust along the edges that are cut: There are 12 slices, and each has a crust length of \( 2\pi \) inches. Therefore, the total length of the crust along the edges that are cut is: \[ \text{Total crust length} = 12 \times 2\pi = 24\pi \text{ inches} \]
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Numerical value of the total length: Using \( \pi \approx 3.14 \): \[ 24\pi \approx 24 \times 3.14 \approx 75.36 \text{ inches} \]
It seems the initial assertion that \( 75.36 \) is wrong is incorrect; \( 75.36 \) inches is indeed the correct length of the crust along the edges that are cut. Thus, the result should be \( 75.36 \) inches, which confirms the calculation.