1. **Problem:** A circle has an area of $289\pi$ cm$^2$. Find the approximate circumference. 2. **Formula:** Area of a circle is $A = \pi r^2$. 3. **Step 1:** Find the radius $r$ by solving $\pi r^2 = 289\pi$. $$r^2 = 289 \implies r = \sqrt{289} = 17 \text{ cm}$$ 4. **Step 2:** Use the circumference formula $C = 2\pi r$. $$C = 2\pi \times 17 = 34\pi \approx 106.8 \text{ cm}$$ **Answer:** The approximate circumference is $106.8$ cm. --- **Explanation:** The area formula relates radius and area. Once radius is found, circumference is calculated using $C=2\pi r$. This shows how area and circumference connect through radius.