Question

How much pizza sauce is need to cover a 16" pizza? (16" is the diameter of the pizza)

Answer 1

201.06 square inches

Explanation:

We need to cover the whole surface area of the pizza so if the pizza is a circular one (using the typical shape), then we can use the formula of the area of a circle.

Area of a circle = pi * r^2

We are given the diameter of the circle to be 16 inches so its radius will be 8 inches.

Substituting this value of radius in the formula to get:

`\pi r^2` =
`\pi (8)^2` =
`201.06`

Therefore, about 201.06 square inches of pizza sause is needed to cover the pizza.

Answer 2

Approximately 201.06 in² of pizza sauce is needed

(if using the approximation π ≈ 3.14, then the answer is 200.96 in²)

Explanation:

We assume that the pizza is perfectly circular and that we want to cover the entire surface. We need the formula for the surface area of a circle which is

A = πr²,

where r is the radius of the pizza.

By definition, the diameter is twice the radius. So the radius of this pizza is half of 16'' = 16 inches, which is 8 in.

Therefore, (using a calculator value for π instead of 3.14 approximation),

A = π(8 in)² = 64π in² ≈ 201.06 in².

Approximately 201.06 in² of pizza sauce is needed.

If you are need to use the approximation π ≈ 3.14, then the answer is 200.96 in²