Answer: The radius of the circle with a circumference of 110 yards is approximately 17.53 yards.
The circumference (\(C\)) of a circle is given by the formula:
\[ C = 2 \pi r \]
Where:
- \( C \) is the circumference,
- \( r \) is the radius of the circle, and
- \( \pi \) is a constant approximately equal to 3.14159.
Given that the circumference (\(C\)) is 110 yards, we can rearrange the formula to solve for the radius (\(r\)):
\[ r = \frac{C}{2 \pi} \]
Substituting the given value of \(C\):
\[ r = \frac{110}{2 \pi} \]
Now, let's calculate it:
\[ r = \frac{110}{2 \times 3.14159} \]
\[ r \approx \frac{110}{6.28318} \]
\[ r \approx 17.53 \]
So, the radius of the circle with a circumference of 110 yards is approximately 17.53 yards.