Question
If the circumference of a circle is 1,236 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 given its circumference, you can use the formula for the circumference of a circle, which is:
\[
C = 2\pi r
\]
where \( C \) is the circumference and \( r \) is the radius.
Given the circumference \( C = 1,236 \) ft, you can solve for the radius \( r \):
\[
r = \frac{C}{2\pi}
\]
Substituting the value of \( C \):
\[
r = \frac{1,236}{2\pi}
\]
Now, we can calculate this using \( \pi \approx 3.14159 \):
\[
r \approx \frac{1,236}{2 \cdot 3.14159} \approx \frac{1,236}{6.28318} \approx 196.5
\]
Therefore, the length of the radius, rounded to the nearest tenth of a foot, is:
\[
\boxed{196.5} \text{ ft.}
\]
\[
C = 2\pi r
\]
where \( C \) is the circumference and \( r \) is the radius.
Given the circumference \( C = 1,236 \) ft, you can solve for the radius \( r \):
\[
r = \frac{C}{2\pi}
\]
Substituting the value of \( C \):
\[
r = \frac{1,236}{2\pi}
\]
Now, we can calculate this using \( \pi \approx 3.14159 \):
\[
r \approx \frac{1,236}{2 \cdot 3.14159} \approx \frac{1,236}{6.28318} \approx 196.5
\]
Therefore, the length of the radius, rounded to the nearest tenth of a foot, is:
\[
\boxed{196.5} \text{ ft.}
\]