To solve the problems, we can use the formulas for circumference and area of a circle.
Part 1: Circumference
The formula for the circumference \(C\) of a circle is:
\[ C = \pi \times d \]
where \(d\) is the diameter.
Given that the diameter of the pizza is 16 inches, we can substitute this into the formula:
\[ C = 3.14 \times 16 \]
Calculating this:
\[ C = 50.24 \]
So the circumference of the pizza, rounded to the nearest hundredth, is:
\[ C = 50.24 \text{ inches} \]
Part 2: Area
The formula for the area \(A\) of a circle is:
\[ A = \pi \times r^2 \]
where \(r\) is the radius. The radius is half of the diameter, so:
\[ r = \frac{d}{2} = \frac{16}{2} = 8 \text{ inches} \]
Now we can substitute the radius into the area formula:
\[ A = 3.14 \times 8^2 \]
Calculating \(8^2\):
\[ 8^2 = 64 \]
Now substitute back into the area formula:
\[ A = 3.14 \times 64 \]
Calculating this:
\[ A = 200.96 \]
So the area of the pizza, rounded to the nearest hundredth, is:
\[ A = 200.96 \text{ square inches} \]
Summary
- Circumference: 50.24 inches
- Area: 200.96 square inches