Question

If the area of a circle is 674 m2
. What is the length of the diameter to the nearest meter?



(1 point)
Responses

214
214

15
15

29
29

43

Answer 1

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

\[ A = \pi r^2 \]

Where:
- \( A \) is the area,
- \( r \) is the radius.

Given that the area \( A = 674 \, \text{m}^2 \), we can rearrange the formula to solve for the radius:

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

Now we can plug in the value of the area:

\[ r = \sqrt{\frac{674}{\pi}} \]

Using \( \pi \approx 3.14 \):

\[ r = \sqrt{\frac{674}{3.14}} \]
\[ r = \sqrt{214.32} \]
\[ r \approx 14.64 \, \text{m} \]

Now, to find the diameter \( d \), we use the formula:

\[ d = 2r \]
\[ d \approx 2 \times 14.64 \]
\[ d \approx 29.28 \, \text{m} \]

Rounding this to the nearest meter gives us:

\[ d \approx 29 \, \text{m} \]

Thus, the length of the diameter to the nearest meter is **29**.