Question

A pizza has a diameter of 16 inches.

(2 points)

Part 1. What is the circumference, in inches, of the pizza, rounded to the nearest hundredth? Use 3.14 for π
.

Circumference =
inches

Part 2. What is the area, in square inches, of the pizza, rounded to the nearest hundredth? Use 3.14 for π
.

Area =
square inches

Answer 1

To find the circumference and area of a pizza with a diameter of 16 inches, we can use the following formulas:

### Part 1: Circumference

The formula for circumference \( C \) is:
\[
C = \pi \times d
\]
where \( d \) is the diameter. Given that \( d = 16 \) inches and using \( \pi \approx 3.14 \):
\[
C = 3.14 \times 16 = 50.24 \text{ inches}
\]

**Circumference = 50.24 inches**

### Part 2: Area

The formula for area \( A \) is:
\[
A = \pi \times r^2
\]
where \( r \) is the radius. The radius \( r \) is half of the diameter:
\[
r = \frac{d}{2} = \frac{16}{2} = 8 \text{ inches}
\]
Now substituting \( r \) into the area formula:
\[
A = 3.14 \times (8^2) = 3.14 \times 64 = 200.96 \text{ square inches}
\]

**Area = 200.96 square inches**

### Summary
- Circumference = 50.24 inches
- Area = 200.96 square inches