Question

If the area of a circle is 586 m2
, then what is the length of the diameter to the nearest meter?(1 point)
Responses

293 m
293 m

187 m
187 m

12 m
12 m

27 m

Answer 1

To find the diameter of a circle given its area, we can use the formula for the area of a circle:

\[
A = \pi r^2
\]

where \( A \) is the area and \( r \) is the radius. We can rearrange this formula to find the radius:

\[
r = \sqrt{\frac{A}{\pi}}
\]

Once we find the radius, we can find the diameter using the formula:

\[
d = 2r
\]

Given that the area \( A = 586 \, m^2 \):

\[
r = \sqrt{\frac{586}{\pi}} \approx \sqrt{\frac{586}{3.14159}} \approx \sqrt{186.78} \approx 13.66 \, m
\]

Now, we can find the diameter:

\[
d = 2r \approx 2 \cdot 13.66 \approx 27.32 \, m
\]

Rounding this to the nearest meter gives:

\[
d \approx 27 \, m
\]

So the length of the diameter to the nearest meter is **27 m**.