1. **State the problem:** Alexis measured the distance across a dinner plate as 22 cm. We need to estimate the radius, diameter, and circumference of the plate. 2. **Recall formulas and rules:** - Diameter ($d$) is the distance across the circle, so $d = 22$ cm. - Radius ($r$) is half the diameter: $$r = \frac{d}{2}$$ - Circumference ($C$) is given by: $$C = 2\pi r$$ Use $\pi \approx 3.14$ and round answers to one decimal place. 3. **Calculate the radius:** $$r = \frac{22}{2}$$ Show cancelation: $$r = \frac{\cancel{22}}{\cancel{2}} = 11$$ So, radius $r = 11$ cm. 4. **Diameter:** Given as $d = 22$ cm. 5. **Calculate the circumference:** $$C = 2 \times 3.14 \times 11$$ $$C = 6.28 \times 11 = 69.08$$ Rounded to one decimal place: $$C \approx 69.1$$ cm. **Final answers:** - Radius: 11 cm - Diameter: 22 cm - Circumference: 69.1 cm