Use the correct formula to find the area of a circle if the diameter is 21 mi. Round to the nearest hundredths place. Use 3.14 for π

.(1 point)
Responses

346.19 mi.2
346.19 mi squared

1,384.74 mi.2
1,384.74 mi squared

65.94 mi.2
65.94 mi squared

131.88 mi.2

1 answer

To find the area of a circle given the diameter, you 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 21 mi, the radius will be:

\[ r = \frac{21}{2} = 10.5 \text{ mi} \]

Now, substituting \( r \) into the area formula using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (10.5)^2 \]

First, calculate \( (10.5)^2 \):

\[ (10.5)^2 = 110.25 \]

Now calculate the area:

\[ \text{Area} = 3.14 \times 110.25 \approx 346.19 \text{ mi}^2 \]

Therefore, the area of the circle is approximately 346.19 mi².

So, the correct response is:

346.19 mi squared.