1. **State the problem:** We need to determine which pizza is the better buy by comparing the unit price per square inch for each pizza.
2. **Formula for area of a circle:**
$$\text{Area} = \pi r^2$$
where $r$ is the radius of the pizza.
3. **Calculate the area of the 10-inch diameter pizza:**
- Radius $r = \frac{10}{2} = 5$ inches.
- Area $= \pi \times 5^2 = 25\pi$ square inches.
- Numerically, $25\pi \approx 78.54$ square inches.
4. **Calculate the unit price for the 10-inch pizza:**
- Price = 8.99
- Unit price $= \frac{8.99}{78.54} \approx 0.1145$ per square inch.
5. **Calculate the area of the 6-inch diameter pizza:**
- Radius $r = \frac{6}{2} = 3$ inches.
- Area $= \pi \times 3^2 = 9\pi$ square inches.
- Numerically, $9\pi \approx 28.27$ square inches.
6. **Calculate the unit price for the 6-inch pizza:**
- Price = 5
- Unit price $= \frac{5}{28.27} \approx 0.1768$ per square inch.
7. **Compare unit prices:**
- 10-inch pizza unit price $\approx 0.1145$
- 6-inch pizza unit price $\approx 0.1768$
Since $0.1145 < 0.1768$, the 10-inch pizza is the better buy.
**Final answers:**
- Area of 10-inch pizza: $78.54$ square inches.
- Unit price of 10-inch pizza: $0.11$ per square inch (rounded).
- Area of 6-inch pizza: $28.27$ square inches.
- Unit price of 6-inch pizza: $0.18$ per square inch (rounded).
- Better buy: 10-inch pizza.
Pizza Buy 839C9A
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