To find the area of a smaller circle inside a larger circle, follow these steps:

1. **Identify the radii**:
   - Let the radius of the **larger circle** be \( R \).
   - Let the radius of the **smaller circle** be \( r \).

2. **Area formulas**:
   - The area of the **larger circle** is given by:
     \[
     A_{\text{large}} = \pi R^2
     \]
   - The area of the **smaller circle** is given by:
     \[
     A_{\text{small}} = \pi r^2
     \]

3. **Find the difference (if needed)**:
   - If you want to find the area between the two circles (i.e., the ring-shaped region), subtract the area of the smaller circle from the larger circle:
     \[
     A_{\text{between}} = A_{\text{large}} - A_{\text{small}} = \pi R^2 - \pi r^2 = \pi (R^2 - r^2)
     \]

In summary, you can find:
- The area of the smaller circle: \( \pi r^2 \).
- The area between the two circles: \( \pi (R^2 - r^2) \), if needed.

Would you like further details or examples? 

Here are 5 related questions you might find interesting:
1. How can you calculate the area of a circle given its circumference?
2. What is the formula for the circumference of a circle?
3. How do you find the area of a sector of a circle?
4. What is the relationship between the diameter and the area of a circle?
5. How do you calculate the area of an ellipse?

**Tip:** The radius is half the diameter, so if you're given the diameter, don't forget to divide by 2 before calculating the area.

Learn how to find the area of a smaller circle inside a larger circle and the area between them. This guide includes key formulas like A = πr² and the difference formula for areas. Ideal for students in Grades 6-8.

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