If the area of a circle is 674 m2 . What is the length of the diameter to the nearest meter?   (1 point) Responses 43 43 15 15 214 214 29

1 answer

To find the diameter of a circle when given the 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 solve for the radius:

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

Now, plug in the area:

\[ r^2 = \frac{674}{\pi} \]

Using \( \pi \approx 3.14 \):

\[ r^2 \approx \frac{674}{3.14} \approx 214.66 \]

Taking the square root to find the radius:

\[ r \approx \sqrt{214.66} \approx 14.65 \]

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

\[ d = 2r \approx 2 \times 14.65 \approx 29.3 \]

Rounding to the nearest meter, the diameter is approximately:

\[ \boxed{29} \]