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.)

A. 100.48 square feet

B. 256 square feet

C. 803.84 square feet

D. 3 , 215.36 square feet

Answer 1

To find the area of a circle (which is the shape of the cookie), we can use the formula:

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

where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 32 feet, we can calculate the radius as follows:

\[
r = \frac{\text{diameter}}{2} = \frac{32}{2} = 16 \text{ feet}
\]

Now, we can substitute the radius into the area formula. Using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (16)^2
\]

Calculating \( (16)^2 \):

\[
(16)^2 = 256
\]

Now, substituting that back into the area formula:

\[
\text{Area} = 3.14 \times 256
\]

Now, we can carry out the multiplication:

\[
\text{Area} = 3.14 \times 256 = 803.84
\]

Thus, the area of the cookie is \( 803.84 \) square feet.

The answer is:

**C. 803.84 square feet**