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The problem shown in the image appears to be asking for the equation of a circle that is concentric with the circle \( (x - 7)^2 + (y - 7)^2 = 7 \) and has a radius of 2.

### Step-by-step solution:

1. **Identify the center of the given circle:**
   The general equation of a circle is \( (x - h)^2 + (y - k)^2 = r^2 \), where \( (h, k) \) is the center and \( r \) is the radius.

   The given equation is:
   \[
   (x - 7)^2 + (y - 7)^2 = 7
   \]
   Here, the center is \( (7, 7) \) and the radius is \( \sqrt{7} \).

2. **Equation of the concentric circle:**
   A concentric circle shares the same center, so the center of the new circle is also \( (7, 7) \). The radius is given as 2. 

   The equation of the circle with center \( (7, 7) \) and radius 2 is:
   \[
   (x - 7)^2 + (y - 7)^2 = 2^2
   \]
   Simplifying:
   \[
   (x - 7)^2 + (y - 7)^2 = 4
   \]

### Final Answer:
The equation of the concentric circle with a radius of 2 is:
\[
(x - 7)^2 + (y - 7)^2 = 4
\]

Would you like further details on this process or have any other questions?

Here are 5 related questions:
1. What is the definition of a concentric circle?
2. How do you find the radius of a circle from its equation?
3. What is the general equation of a circle?
4. How does changing the radius affect the equation of a circle?
5. Can two circles with different centers be concentric?

**Tip:** Concentric circles always share the same center but can have different radii.

Find the equation of a circle that is concentric with (x - 7)^2 + (y - 7)^2 = 7, with radius 2.

Learn how to find the equation of a concentric circle with a radius of 2. The solution involves understanding the general formula of a circle and the concept of concentric circles, where both circles share the same center. Suitable for students in Grades 8-10.

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