To determine the order of the pizzas based on the area of a slice from smallest area to largest area, we need to calculate the area of a slice for each pizza and then compare these areas.
1. For Pizza 1 with a radius of 16 inches, cut into 8 slices:
[tex]\[
\text{Area of Pizza 1} = \pi \times (16^2) = 256\pi
\][/tex]
The area of one slice:
[tex]\[
\frac{256\pi}{8} \approx 100.53 \text{ square inches}
\][/tex]
2. For Pizza 2 with a radius of 14 inches, cut into 6 slices:
[tex]\[
\text{Area of Pizza 2} = \pi \times (14^2) = 196\pi
\][/tex]
The area of one slice:
[tex]\[
\frac{196\pi}{6} \approx 102.63 \text{ square inches}
\][/tex]
3. For Pizza 3 with a radius of 12 inches, cut into 4 slices:
[tex]\[
\text{Area of Pizza 3} = \pi \times (12^2) = 144\pi
\][/tex]
The area of one slice:
[tex]\[
\frac{144\pi}{4} \approx 113.10 \text{ square inches}
\][/tex]
Now, we compare these values:
- Slice from Pizza 1: [tex]\( \approx 100.53 \)[/tex]
- Slice from Pizza 2: [tex]\( \approx 102.63 \)[/tex]
- Slice from Pizza 3: [tex]\( \approx 113.10 \)[/tex]
Ordering the areas from smallest to largest:
- Smallest: Slice from Pizza 1 ([tex]\( \approx 100.53 \)[/tex])
- Medium: Slice from Pizza 2 ([tex]\( \approx 102.63 \)[/tex])
- Largest: Slice from Pizza 3 ([tex]\( \approx 113.10 \)[/tex])
Therefore, the correct order is:
1. Slice from Pizza 1
2. Slice from Pizza 2
3. Slice from Pizza 3
