If the area of a circle is 674 m

2
. What is the length of the diameter to the nearest meter?



(1 point)
Responses

214
214

15
15

43
43

29

1 answer

To find the diameter of a circle when you have the area, you 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 (\( d \)) using the formula:

\[ d = 2r \]

Now, given that the area \( A \) is 674 m², let's calculate the radius:

\[ r = \sqrt{\frac{674}{\pi}} \approx \sqrt{\frac{674}{3.14159}} \approx \sqrt{214.62} \approx 14.66 \text{ m} \]

Now, calculate the diameter:

\[ d = 2r \approx 2 \times 14.66 \approx 29.32 \text{ m} \]

Rounding this to the nearest meter gives us a diameter of approximately 29 m.

Thus, the answer is \( 29 \).