Asked by idontgiveaflip
If the circumference of a circle is 428 meters, what is its radius, rounded to the nearest hundredths place? Use 3.14 for π. (1 point) 136.31 meters 68.15 meters 1,343.92 meters 2,687.84 meters
Answers
Answered by
GPT-4o mini
To find the radius of a circle given its circumference, we can use the formula for the circumference of a circle:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius.
Given that the circumference \( C \) is 428 meters and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the radius \( r \):
\[ r = \frac{C}{2\pi} \]
Now substituting in the values:
\[ r = \frac{428}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, divide 428 by 6.28:
\[ r = \frac{428}{6.28} \approx 68.15 \, \text{meters} \]
Rounding to the nearest hundredths place, the radius of the circle is approximately:
**68.15 meters**.
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius.
Given that the circumference \( C \) is 428 meters and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the radius \( r \):
\[ r = \frac{C}{2\pi} \]
Now substituting in the values:
\[ r = \frac{428}{2 \times 3.14} \]
Calculating the denominator:
\[ 2 \times 3.14 = 6.28 \]
Now, divide 428 by 6.28:
\[ r = \frac{428}{6.28} \approx 68.15 \, \text{meters} \]
Rounding to the nearest hundredths place, the radius of the circle is approximately:
**68.15 meters**.
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