https://file.aiquickdraw.com/mathbot/file/1725653469482nufgrw36.jpg

The equation in the image is:

\[
A = \pi r^2
\]

To isolate \( r \), follow these steps:

1. Divide both sides of the equation by \( \pi \):
   \[
   \frac{A}{\pi} = r^2
   \]

2. Take the square root of both sides to solve for \( r \):
   \[
   r = \sqrt{\frac{A}{\pi}}
   \]

Thus, \( r = \sqrt{\frac{A}{\pi}} \) is the expression for \( r \) in terms of \( A \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the radius if the area \( A \) is 100 square units?
2. How does changing the area \( A \) affect the radius \( r \)?
3. What is the area if the radius \( r \) is 5 units?
4. Can you express the diameter \( d \) in terms of the area \( A \)?
5. What happens to the radius if the area is quadrupled?

**Tip:** When solving equations involving powers, always consider whether you need to take the square root, cube root, etc., to isolate variables.

Learn how to isolate the variable r from the equation A = πr^2. This guide provides a step-by-step solution, including dividing by π and taking the square root. Suitable for students in Grades 7-9 studying algebra and geometry.

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