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Question

A pizza has a diameter of 16 inches.

(2 points)
7th Grade Math Formula Sheet

Part 1. What is the circumference, in inches, of the pizza? Do not round. Use 3.14 for π
.

Circumference =
inches

Part 2. What is the area, in square inches, of the pizza? Do not round. Use 3.14 for π
.

Area =
square inches

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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 the circumference \( C \) of a circle is: \[ C = \pi \times d \] where \( d \) is the diameter.

Given:

  • Diameter \( d = 16 \) inches
  • \( \pi \approx 3.14 \)

Substituting the values into the formula: \[ C = 3.14 \times 16 = 50.24 \text{ inches} \]

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.

Given:

  • Radius \( r = \frac{16}{2} = 8 \) inches

Substituting the values into the formula: \[ A = 3.14 \times 8^2 = 3.14 \times 64 = 200.96 \text{ square inches} \]

Summary of Answers

  • Circumference = 50.24 inches
  • Area = 200.96 square inches