When sizes of pizzas are quoted in inches, the number quoted is the diameter of the pizza. a restaurant advertises an 8-inch "personal pizza". if this 8-inch pizza is the right size for one person, how many people can be fed by a large 16-inch pizza?

The diameter of a personal pizza is 8-in, that is, a personal pizza is circle shaped with radius = 4-in.

The area of the pizza is  (squared in)

A large 16-in pizza, has the shape of a circle with radius = 8 in, so the area of this pizza is (squared in)

Comparing the areas of the 2 pizza-s, we see that the large pizza is 64/16= 4 times larger in area, then the small pizza.

So, 4 people can be fed by the large pizza.

4 

The number of people that can be fed by the 16 inch pizza is 4

The size of personal pizza = 8 inches

Hence, diameter of pizza = 8 inches

Radius = dimamter /2 = 8/2 = 4 inches

The area of the pizza can be calculated thus :

Area = πr²

Area = π × 4² = 16π in²

Pizza for one person = 16π in²

The Larger pizza :

Diameter = 16 inches Radius = 16/2 = 8 inches

Area of larger pizza = π × 8² = 64π in²

Number of people who can eat the larger pizza :

(64π in² / 16π in² ) = 4

Therefore, the larger pizza woukd feed 4 people

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