Question

Question
The approximate circumference of a large pizza is 72.22 inches. Use 3.14 for π. What is the diameter of the pizza? (2 points)
Responses

22 inches
22 inches

23 inches
23 inches

11.5 inches
11.5 inches

14.4 inches

Answer 1

To find the diameter of the pizza given its circumference, you can use the formula for the circumference of a circle:

\[ C = \pi \times d \]

where:
- \( C \) is the circumference,
- \( \pi \) is approximately 3.14,
- \( d \) is the diameter.

Given that the circumference \( C \) is 72.22 inches, you can rearrange the formula to solve for the diameter \( d \):

\[ d = \frac{C}{\pi} \]

Substituting the given values into the formula:

\[ d = \frac{72.22 \text{ inches}}{3.14} \]

Calculating that:

\[ d \approx \frac{72.22}{3.14} \approx 22.99 \text{ inches} \]

Rounding to the nearest whole number gives you \( d \approx 23 \) inches.

Therefore, the diameter of the pizza is approximately **23 inches**.