Answer :

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.

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