Question
The Jonesboro Education Department decided to celebrate opening a new school by baking one of the biggest chocolate chip cookies ever made. They hired a local bakery to make a cookie with a diameter of 32 feet.
What is the area of the surface of a cookie with a diameter of 32 ft? (Use 3.14 as an approximation for pi.)
Responses
square feet
100.48 square feet
square feet
256 square feet
square feet
803.84 square feet
square feet
What is the area of the surface of a cookie with a diameter of 32 ft? (Use 3.14 as an approximation for pi.)
Responses
square feet
100.48 square feet
square feet
256 square feet
square feet
803.84 square feet
square feet
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius \( r \) is half the diameter. Given a diameter of 32 feet, the radius would be:
\[
r = \frac{32}{2} = 16 \text{ feet}
\]
Now, substituting the radius into the area formula and using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (16)^2
\]
Calculating \( (16)^2 \):
\[
(16)^2 = 256
\]
Now substituting this back into the area formula:
\[
\text{Area} = 3.14 \times 256
\]
Calculating the area:
\[
\text{Area} = 803.84 \text{ square feet}
\]
Thus, the area of the surface of the cookie is:
\[
\boxed{803.84 \text{ square feet}}
\]
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius \( r \) is half the diameter. Given a diameter of 32 feet, the radius would be:
\[
r = \frac{32}{2} = 16 \text{ feet}
\]
Now, substituting the radius into the area formula and using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (16)^2
\]
Calculating \( (16)^2 \):
\[
(16)^2 = 256
\]
Now substituting this back into the area formula:
\[
\text{Area} = 3.14 \times 256
\]
Calculating the area:
\[
\text{Area} = 803.84 \text{ square feet}
\]
Thus, the area of the surface of the cookie is:
\[
\boxed{803.84 \text{ square feet}}
\]