Find the radius of the circular lawn if its circumference is 110 m.

The distance all around the circular lawn is its circumference.

$$C = 110 \text{ m}$$

The circumference $C$ of a circle with radius $r$ is given by:

$$C = 2\pi r$$

$$110 = 2\pi r$$

To find $r$, divide both sides by $2\pi$:

$$r = \frac{110}{2\pi}$$ $$r = \frac{55}{\pi}$$

Using the approximation $\pi \approx 3.14159$:

$$r \approx \frac{55}{3.14159}$$ $$r \approx 17.507 \text{ m}$$

The radius of the circular lawn is approximately $\text{17.51 m}$.