Circle Radius 97Df3B

1. **State the problem:** We are given the formula for the area of a circle $$A = \pi r^2$$ and asked to solve for the radius $$r$$. 2. **Formula and rules:** The area $$A$$ of a circle is related to its radius $$r$$ by $$A = \pi r^2$$, where $$\pi$$ is a constant approximately equal to 3.14159. 3. **Isolate $$r$$:** To solve for $$r$$, divide both sides of the equation by $$\pi$$: $$\frac{A}{\pi} = \frac{\pi r^2}{\pi}$$ 4. **Cancel common factors:** $$\frac{A}{\cancel{\pi}} = \cancel{\pi} r^2 \implies \frac{A}{\pi} = r^2$$ 5. **Take the square root:** To solve for $$r$$, take the square root of both sides: $$r = \sqrt{\frac{A}{\pi}}$$ 6. **Final answer:** The radius $$r$$ in terms of the area $$A$$ is: $$\boxed{r = \sqrt{\frac{A}{\pi}}}$$ This means to find the radius, divide the area by $$\pi$$ and then take the square root of the result.