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?(1 point)
Answers
GPT-4o mini
To find the length of the crust along the edges that are cut, we first need to determine the circumference of the pizza, which is the length of the crust. The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle. In this case, the diameter of the pizza is 24 inches.
Calculating the circumference:
\[
C = \pi \times 24 \approx 3.14 \times 24 \approx 75.36 \text{ inches}
\]
Next, since the pizza is cut into 12 equal pieces, the length of the crust along the edges that are cut will include the edges of each of the 12 pieces. Each piece has a straight edge (the cut) that extends across the radius, but the length of the crust along these edges will still contribute to the overall amount of crust.
However, the cuts do not add any additional length of crust; they merely divide the existing length into equal parts. Thus, we are interested in the total length of the pizza crust, which remains equal to the circumference.
Therefore, the total length of the crust along the edges that are cut is:
\[
\approx 75.36 \text{ inches}
\]
This is the final answer.
\[
C = \pi \times d
\]
where \( d \) is the diameter of the circle. In this case, the diameter of the pizza is 24 inches.
Calculating the circumference:
\[
C = \pi \times 24 \approx 3.14 \times 24 \approx 75.36 \text{ inches}
\]
Next, since the pizza is cut into 12 equal pieces, the length of the crust along the edges that are cut will include the edges of each of the 12 pieces. Each piece has a straight edge (the cut) that extends across the radius, but the length of the crust along these edges will still contribute to the overall amount of crust.
However, the cuts do not add any additional length of crust; they merely divide the existing length into equal parts. Thus, we are interested in the total length of the pizza crust, which remains equal to the circumference.
Therefore, the total length of the crust along the edges that are cut is:
\[
\approx 75.36 \text{ inches}
\]
This is the final answer.