A circle of radius `2` lies in the first quadrant and touches both the axes. Find the equation of the circle with centre at `(6,5)` and touching the above circle externally.

Explanation

To find the equation of the circle with center at (6, 5) that touches the given circle externally, we can follow these steps:

### Step 1: Identify the first circle's properties
The first circle has a radius of 2 and touches both the x-axis and y-axis. Therefore, its center will be at (2, 2).

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