How much pizza sausage need to cover a 16-in pizza no 16 inch is the Demeter of the piece a 50.24 inch B 200.96 inch c803.84 inch or d3,215.36 inch

1 answer

To calculate the amount of sausage needed to cover a 16-inch pizza, we need to find the surface area of the pizza and then the surface area of the sausage.

The formula for the surface area of a circle is:
A = πr^2

Given that the pizza is 16 inches in diameter, the radius (r) is 8 inches. Plugging this into the formula:

A_pizza = π(8)^2 = 64π

Now, the sausage covers the entire pizza, so we need to find the surface area of the sausage to cover the pizza.

Let's assume the thickness of the sausage layer is 1 inch.

The circumference of the pizza is C = πd = π(16) = 16π

The length of the sausage needed to cover the pizza is 16π inches.

To find the surface area of the sausage, we multiply the circumference by the thickness:

A_sausage = 16π * 1 = 16π

Plugging in the value of π (approximately 3.14159):

A_sausage ≈ 16 * 3.14159 ≈ 50.2656

Therefore, the correct answer is A: 50.24 inches.
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