A large pizza has a diameter of 16 inches. What is the area of the top of the pizza?

A.
25 in2

B.
50 in2

C.
201 in2

D.
804 in2

1 answer

To find the area of the top of the pizza, which is a circle, we can use the formula for the area of a circle:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle.

Given that the diameter of the pizza is 16 inches, we can find the radius by dividing the diameter by 2:

\[ r = \frac{16 \text{ in}}{2} = 8 \text{ in} \]

Now, we can plug the radius into the area formula:

\[ \text{Area} = \pi (8 \text{ in})^2 = \pi (64 \text{ in}^2) = 64\pi \text{ in}^2 \]

Using the approximate value of \( \pi \approx 3.14 \):

\[ \text{Area} \approx 64 \times 3.14 \approx 200.96 \text{ in}^2 \]

Rounding this, we get approximately 201 in².

Thus, the area of the top of the pizza is:

C. 201 in²