Question

You order a pizza with diameter 14 inches. Your friend orders a pizza with diameter 10 inches. Compare the areas of the two pizzas to estimate approximately how many of the smaller pizzas can fit into the larger pizza.

Answer 1

1.96 smaller pizzas can fit into the larger pizza.

Explanation:

Area of smaller pizza:

π × (10/2)^2 = π × 5^2 = 25π square inches

Area of larger pizza:

π × (14/2)^2 = π × 7^2 = 49π square inches

Ratio of area of larger pizza to area of smaller pizza: 49π / 25π = 1.96