Question

If the area of a circle is 586 m², then what is the length of the diameter to the nearest meter? ( A = π * r² ) (1 point) Responses 27 m 27 m 293 m 293 m 187 m 187 m 12 m

Answer 1

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

\[
A = \pi r^2
\]

We know that the area \( A = 586 \, m^2 \).

First, we can solve for the radius \( r \):

\[
r^2 = \frac{A}{\pi} = \frac{586}{\pi}
\]

Using the approximation \( \pi \approx 3.14159 \):

\[
r^2 \approx \frac{586}{3.14159} \approx 186.6
\]

Now we calculate the radius \( r \):

\[
r \approx \sqrt{186.6} \approx 13.64 \, m
\]

The diameter \( d \) is twice the radius:

\[
d = 2r \approx 2 \times 13.64 \approx 27.28 \, m
\]

Rounding to the nearest meter, the diameter is approximately:

\[
d \approx 27 \, m
\]

So the answer is **27 m**.