Find the equation of the circle with: Centre `(a , a)` and radius `sqrt(2)a` .

Explanation

To find the equation of the circle with center \((a, a)\) and radius \(\sqrt{2}a\), we can follow these steps:

### Step 1: Identify the center and radius
The center of the circle is given as \((a, a)\) and the radius is given as \(\sqrt{2}a\).

### Step 2: Write the standard form of the circle's equation
The standard equation of a circle with center \((h, k)\) and radius \(r\) is given by:
\[
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