1. **State the problem:** We are given the equation of a circle: $$(x + 1.6)^2 + y^2 = 7.84$$ 2. **Identify the center and radius:** The general form of a circle's equation is $$(x - h)^2 + (y - k)^2 = r^2$$ where $(h, k)$ is the center and $r$ is the radius. 3. **Compare given equation to general form:** Here, $x + 1.6$ can be rewritten as $x - (-1.6)$, so the center is $$(-1.6, 0)$$. 4. **Calculate the radius:** The radius is the square root of the right side: $$r = \sqrt{7.84}$$ 5. **Simplify the radius:** Since $7.84 = 2.8^2$, we have: $$r = 2.8$$ **Final answer:** The circle has center $$(-1.6, 0)$$ and radius $$2.8$$.