Question
if the circumference of a circle is 428 m. What is its radius?
Answers
GPT-4o mini
To find the radius of the circle when given the circumference, you 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 m, you can rearrange the formula to solve for \( r \):
\[
r = \frac{C}{2\pi}
\]
Now, substitute \( C = 428 \) m:
\[
r = \frac{428}{2\pi}
\]
Calculating this gives:
\[
r \approx \frac{428}{6.2832} \approx 68.2 \text{ m}
\]
So, the radius of the circle is approximately \( 68.2 \) meters.
\[
C = 2\pi r
\]
where \( C \) is the circumference and \( r \) is the radius.
Given that the circumference \( C \) is 428 m, you can rearrange the formula to solve for \( r \):
\[
r = \frac{C}{2\pi}
\]
Now, substitute \( C = 428 \) m:
\[
r = \frac{428}{2\pi}
\]
Calculating this gives:
\[
r \approx \frac{428}{6.2832} \approx 68.2 \text{ m}
\]
So, the radius of the circle is approximately \( 68.2 \) meters.