Math problems about calculating pizza area and ribbon length for a basketball gift.

Let's solve each problem step by step.

---

Problem 1: Which pizza gives more square inches of pizza per dollar?

We are given:
- Medium pizza: 12-inch diameter, costs $6.00
- Large pizza: 15-inch diameter, costs $10.00

We need to find which one gives more area per dollar.

#### Step 1: Area of a circle
The formula for the area of a circle is:

$$
A = \pi r^2
$$

where $ r $ is the radius (half the diameter).

---

Medium Pizza:
- Diameter = 12 inches → Radius = $ \frac{12}{2} = 6 $ inches
- Area = $ \pi \times 6^2 = \pi \times 36 \approx 3.1416 \times 36 = 113.0976 $ square inches
- Cost = $6.00
- Area per dollar = $ \frac{113.0976}{6} \approx 18.85 $ sq in per dollar

---

Large Pizza:
- Diameter = 15 inches → Radius = $ \frac{15}{2} = 7.5 $ inches
- Area = $ \pi \times (7.5)^2 = \pi \times 56.25 \approx 3.1416 \times 56.25 = 176.7144 $ square inches
- Cost = $10.00
- Area per dollar = $ \frac{176.7144}{10} = 17.67 $ sq in per dollar

---

Comparison:
- Medium: ~18.85 sq in/$
- Large: ~17.67 sq in/$

✔ The medium pizza gives you more square inches per dollar.

> ✔ Answer to Problem 1: The medium pizza gives more pizza for the money.

---

Problem 2: How much ribbon does George need?

George wants to wrap a ribbon around a basketball and tie a bow.

Given:
- Radius of basketball = 4.5 inches
- Needs 12 more inches for the bow
- Ribbon must go around the ball (i.e., go around the circumference)

#### Step 1: Circumference of the basketball
The formula for circumference is:

$$
C = 2\pi r
$$

$$
C = 2 \times \pi \times 4.5 = 9\pi \approx 9 \times 3.1416 = 28.2744 \text{ inches}
$$

#### Step 2: Add 12 inches for the bow

$$
\text{Total ribbon needed} = 28.2744 + 12 = 40.2744 \text{ inches}
$$

Rounded to the nearest tenth or whole number depending on context.

But since it's a real-world measurement, we can round appropriately.

👉 Approximately 40.3 inches or about 40 inches if rounding down.

But let’s keep it precise.

> ✔ Answer to Problem 2: George needs approximately 40.3 inches of ribbon.

---

✔ Final Answers:

1. The medium pizza gives more square inches per dollar.
(It offers about 18.85 sq in per dollar vs. 17.67 sq in per dollar for the large.)

2. George needs about 40.3 inches of ribbon (28.27 inches for circumference + 12 inches for bow).

Let me know if you'd like this explained visually or with diagrams!