Question

The radius of a circle is 59 in. What is the area of the circle? Round to the nearest hundredths place. Use 3.14 for π . (1 point)
Responses

10,930.34 in.2
10,930.34 in squared

185.26 in.2
185.26 in squared

370.52 in.2
370.52 in squared

92.63 in.2

Answer 1

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. Given that the radius \( r \) is 59 inches and using \( \pi \approx 3.14 \), we can calculate the area as follows:

\[
\text{Area} = 3.14 \times (59)^2
\]

First, calculate \( (59)^2 \):

\[
59^2 = 3481
\]

Now, substitute that back into the area formula:

\[
\text{Area} = 3.14 \times 3481
\]

Now, perform the multiplication:

\[
\text{Area} \approx 3.14 \times 3481 = 10927.34
\]

Finally, round to the nearest hundredths place:

\[
\text{Area} \approx 10927.34 \, \text{in}^2
\]

Thus, the area of the circle is approximately **10,927.34 in²**. However, none of the provided responses match this value. Please check the available options again. The correct area rounded correctly is **10,927.34 in²** based on the calculations shown above.