1. **State the problem:** We are given the circumference of a circle as 11.304 inches and need to find the circle's diameter and radius. 2. **Formula used:** The circumference $C$ of a circle is related to its diameter $d$ and radius $r$ by the formulas: $$C = \pi d$$ and $$d = 2r$$ where $\pi$ is approximately 3.14. 3. **Find the diameter:** Using $C = \pi d$, solve for $d$: $$d = \frac{C}{\pi}$$ Substitute $C = 11.304$ and $\pi = 3.14$: $$d = \frac{11.304}{3.14}$$ Show cancellation step: $$d = \frac{\cancel{11.304}}{\cancel{3.14}} = 3.6$$ So, the diameter is 3.6 inches. 4. **Find the radius:** Since $d = 2r$, solve for $r$: $$r = \frac{d}{2}$$ Substitute $d = 3.6$: $$r = \frac{3.6}{2}$$ Show cancellation step: $$r = \frac{\cancel{3.6}}{\cancel{2}} = 1.8$$ So, the radius is 1.8 inches. **Final answers:** Radius = 1.8 in Diameter = 3.6 in