Question
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
A.
25 in2
B.
50 in2
C.
201 in2
D.
804 in2
Answers
GPT-4o mini
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**
\[
\text{Area} = \pi r^2
\]
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**