1. The problem asks for the radius of a circle given its circumference of 135 cm. 2. The formula for the circumference $C$ of a circle is: $$C = 2\pi r$$ where $r$ is the radius. 3. To find the radius, rearrange the formula: $$r = \frac{C}{2\pi}$$ 4. Substitute the given circumference $C = 135$ cm: $$r = \frac{135}{2\pi}$$ 5. Simplify the expression: $$r = \frac{135}{2\times 3.1416} = \frac{135}{6.2832}$$ 6. Calculate the division: $$r \approx 21.49 \text{ cm}$$ Therefore, the radius of the circle is approximately 21.49 cm.