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:

16 inches in diameter is an 8 inch radius. The area of a circle (the whole pizza) is

A = pi• r^2

= 3.14•8^2

= 64pi

= 200.96

The whole pizza is 200.96 square inches of pizza.

There are 12 pieces.

200.96 ÷ 12

= 16.746666...

Each slice is 16.75 sq inches.

The guys ate 4 pieces each.

16.75 × 4

= 67

Each guy ate 67 sq inches of pizza.