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

1 answer

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