Question

Find the radius of the circle. Use your calculator's value of π. Round your answer to the nearest tenth.



area = 64π mi2

Answer 1

To find the radius of a circle given its area, you can use the formula for the area of a circle:

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

where \( r \) is the radius.

In this case, we have:

\[
\text{Area} = 64\pi \text{ mi}^2
\]

We can set the area equal to the formula:

\[
64\pi = \pi r^2
\]

Next, you can divide both sides by \( \pi \) (assuming \( \pi \neq 0 \)):

\[
64 = r^2
\]

Now, take the square root of both sides to find \( r \):

\[
r = \sqrt{64}
\]
\[
r = 8
\]

Now, round your answer to the nearest tenth. Since 8.0 is already to the nearest tenth:

\[
\text{Radius} \approx 8.0 \text{ mi}
\]

Therefore, the radius of the circle is approximately **8.0 miles**.