Find the equation of the circle which touches the both axes in first quadrent and whose radius is a.

Explanation

To find the equation of the circle that touches both axes in the first quadrant and has a radius of \( a \), we can follow these steps:

### Step 1: Determine the center of the circle
Since the circle touches both the x-axis and the y-axis in the first quadrant, its center must be at the point \( (a, a) \). This is because the distance from the center to each axis must equal the radius \( a \).

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