Question

Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.

How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)

A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches

Answer 1

D. 67 square inches

Explanation:

The area of a 16-inch pizza is:

A = πr^2 = π(8)^2 = 64π

Since the pizza was cut into 12 equal slices, each slice has an area of:

64π / 12 = 16π/3

Each boy ate 4 slices, so the total area of pizza each boy ate is:

4(16π/3) = 64π/3

Rounding to the nearest whole square inch, we have:

64π/3 ≈ 67 square inches

Therefore, the answer is D. Each boy ate approximately 67 square inches of pizza.

Hope this helps!