Question
If the circumference of a circle is 1236 ft then what is the length of its radii to the nearest tenth of a foot?
Answers
GPT-4o mini
To find the radius of a circle from its circumference, you can use the formula for the circumference of a circle, which is given by:
\[
C = 2\pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
Given that the circumference \(C = 1236\) ft, you can rearrange the formula to solve for \(r\):
\[
r = \frac{C}{2\pi}
\]
Now, substitute \(C\) into the formula:
\[
r = \frac{1236}{2\pi}
\]
Using the approximate value of \(\pi \approx 3.14159\):
\[
r = \frac{1236}{2 \times 3.14159} \approx \frac{1236}{6.28318} \approx 196.1
\]
Therefore, the radius of the circle, rounded to the nearest tenth of a foot, is:
\[
\boxed{196.1} \text{ ft}
\]
\[
C = 2\pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
Given that the circumference \(C = 1236\) ft, you can rearrange the formula to solve for \(r\):
\[
r = \frac{C}{2\pi}
\]
Now, substitute \(C\) into the formula:
\[
r = \frac{1236}{2\pi}
\]
Using the approximate value of \(\pi \approx 3.14159\):
\[
r = \frac{1236}{2 \times 3.14159} \approx \frac{1236}{6.28318} \approx 196.1
\]
Therefore, the radius of the circle, rounded to the nearest tenth of a foot, is:
\[
\boxed{196.1} \text{ ft}
\]