Solve for the given variables:

a) 
A = 𝜋r2
, for r (don't put the plus or minus (±) here as the system will reject it )

        r = 

To solve for \( r \) in the equation \( A = \pi r^2 \), follow these steps:

1. Start with the equation:
   \[
   A = \pi r^2
   \]

2. Divide both sides by \( \pi \) to isolate \( r^2 \):
   \[
   \frac{A}{\pi} = r^2
   \]

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

Thus, the solution for \( r \) is:
\[
r = \sqrt{\frac{A}{\pi}}
\]

Would you like more details on this solution?

Here are some related questions:
1. What is the value of \( r \) if \( A = 50 \) square units?
2. How does the equation change if the shape is an ellipse instead of a circle?
3. Can you express \( r \) in terms of another variable related to circumference \( C \)?
4. What happens to \( r \) if you double the area \( A \)?
5. How is this formula derived from the basic geometry of a circle?

**Tip:** Always double-check the units of \( A \) to ensure correct application of the formula.

Solve for the given variables: A = 𝜋r², for r

Learn how to solve for the radius r from the area of a circle formula A = 𝜋r². This guide provides a step-by-step solution for students in Grades 7-9, including key mathematical concepts in algebra and geometry.

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