Question
If the area of a circle is 586 m', then what is the length of the diameter to the nearest meter? (1 point)
• 12 m
• 293 m
27 m
181m
• 12 m
• 293 m
27 m
181m
Answers
GPT-4o mini
To find the diameter of a circle given its 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.
Given that the area \( A \) is 586 m², we can set up the equation:
\[
586 = \pi r^2
\]
To find \( r^2 \), divide both sides by \( \pi \):
\[
r^2 = \frac{586}{\pi}
\]
Using the value of \( \pi \) (approximately 3.14):
\[
r^2 \approx \frac{586}{3.14} \approx 186.6
\]
Now take the square root to find \( r \):
\[
r \approx \sqrt{186.6} \approx 13.65 \text{ m}
\]
The diameter \( d \) is twice the radius:
\[
d = 2r \approx 2 \times 13.65 \approx 27.3 \text{ m}
\]
Rounding to the nearest meter, the diameter \( d \) is approximately 27 m.
So the answer is:
• 27 m
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A \) is 586 m², we can set up the equation:
\[
586 = \pi r^2
\]
To find \( r^2 \), divide both sides by \( \pi \):
\[
r^2 = \frac{586}{\pi}
\]
Using the value of \( \pi \) (approximately 3.14):
\[
r^2 \approx \frac{586}{3.14} \approx 186.6
\]
Now take the square root to find \( r \):
\[
r \approx \sqrt{186.6} \approx 13.65 \text{ m}
\]
The diameter \( d \) is twice the radius:
\[
d = 2r \approx 2 \times 13.65 \approx 27.3 \text{ m}
\]
Rounding to the nearest meter, the diameter \( d \) is approximately 27 m.
So the answer is:
• 27 m