Question
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)
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 when a pizza with a 24-inch diameter is cut into 12 equal pieces, we start by calculating 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.
In this case, the diameter \( d \) is 24 inches, so the circumference is:
\[
C = \pi \times 24 \approx 3.14 \times 24 \approx 75.36 \text{ inches}
\]
When the pizza is cut into 12 equal pieces, each cut will correspond to a straight line from the center of the pizza to the edge, effectively creating a number of new edges (the cuts) along the circumference.
However, we want the total length of the crust along the edges that are cut. Since each piece will have two cut edges (along the radius), for 12 pieces, the total number of cuts will be 12, but what we need to focus on are the sections of the circumference defined by the cuts.
The total length of the crust along the edges is equivalent to the circumference since the cuts do not change the total length of the outer edge.
Thus, the total length of the crust along the edges that are cut is approximately:
\[
\boxed{75.36} \text{ inches}
\]
The formula for the circumference \( C \) of a circle is given by:
\[
C = \pi \times d
\]
where \( d \) is the diameter.
In this case, the diameter \( d \) is 24 inches, so the circumference is:
\[
C = \pi \times 24 \approx 3.14 \times 24 \approx 75.36 \text{ inches}
\]
When the pizza is cut into 12 equal pieces, each cut will correspond to a straight line from the center of the pizza to the edge, effectively creating a number of new edges (the cuts) along the circumference.
However, we want the total length of the crust along the edges that are cut. Since each piece will have two cut edges (along the radius), for 12 pieces, the total number of cuts will be 12, but what we need to focus on are the sections of the circumference defined by the cuts.
The total length of the crust along the edges is equivalent to the circumference since the cuts do not change the total length of the outer edge.
Thus, the total length of the crust along the edges that are cut is approximately:
\[
\boxed{75.36} \text{ inches}
\]