Given the equation \( A = \pi r^2 = 263 \), where \( A \) is the area of a circle and \( r \) is its radius, you want to find the radius \( r \).

To do this, we can solve for \( r \):

\[
\pi r^2 = 263
\]

\[
r^2 = \frac{263}{\pi}
\]

\[
r = \sqrt{\frac{263}{\pi}}
\]

Now, we can calculate the value of \( r \):

\[
r \approx \sqrt{\frac{263}{3.14159}} \approx \sqrt{83.73} \approx 9.15
\]

So, the radius \( r \) is approximately **9.15 units**.

Would you like more details on this calculation or have any other questions?

Here are 5 related questions you might find interesting:

1. How would you find the diameter of the circle with this radius?
2. What is the circumference of the circle with this radius?
3. If the radius were doubled, what would be the new area?
4. How does the area change if the radius is halved?
5. What is the relationship between the area of a circle and its radius?

**Tip:** Remember, the area of a circle grows with the square of the radius, meaning small changes in the radius can result in large changes in the area!

Learn how to calculate the area of a circle using the formula A = πr^2, where A is the area and r is the radius. In this problem, the area A is given as 263 square units. Follow a step-by-step solution to find the radius r. Suitable for students in Grades 7-9.

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