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

370.52 in.2
370.52 in squared

92.63 in.2
92.63 in squared

185.26 in.2
185.26 in squared

10,930.34 in.2

1 answer

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 \( \pi \approx 3.14 \):

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

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

\[ (59)^2 = 3481 \]

Now substitute back into the area formula:

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

Calculating that gives:

\[ \text{Area} \approx 10925.94 \text{ in}^2 \]

Rounding to the nearest hundredths place, the area of the circle is approximately \( 10,925.94 \) in².

Thus, the closest answer choice is:

10,930.34 in.².