1. **State the problem:** We are given the circumference of a circle as 176 centimeters and need to find its radius. 2. **Formula used:** The circumference $C$ of a circle is related to its radius $r$ by the formula: $$C = 2\pi r$$ 3. **Rearrange the formula to solve for $r$:** $$r = \frac{C}{2\pi}$$ 4. **Substitute the given circumference:** $$r = \frac{176}{2\pi}$$ 5. **Simplify the expression:** $$r = \frac{176}{2 \times 3.1416} = \frac{176}{6.2832}$$ 6. **Calculate the radius:** $$r \approx 28.01$$ centimeters **Final answer:** The radius of the circle is approximately 28.01 centimeters.