To find the area of a circle when \( R = 45 \), we use the formula for the area of a circle:

\[
A = \pi R^2
\]

Substitute \( R = 45 \):

\[
A = \pi (45)^2 = \pi \times 2025
\]

\[
A \approx 3.1416 \times 2025 \approx 6361.73
\]

So, the area is approximately **6361.73 square units**.

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Here are 5 related questions to expand on this:

1. How would the area change if the radius is doubled?
2. What is the formula for the circumference of a circle, and how does it relate to the radius?
3. How can you find the diameter of a circle if you only know the area?
4. How does the area change if you reduce the radius by half?
5. Can you derive the area formula for a sector of a circle?

**Tip:** Remember that the radius squared has a significant impact on the area—doubling the radius quadruples the area!

Find the area of a circle when the radius is 45 units using the formula A = πR^2. The solution explains each step, showing how to calculate the area as approximately 6361.73 square units. This problem is ideal for students in Grades 6-8 and covers key geometry concepts.

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