Find the radius and centre of the circle passing through the points `(2,0), (6, 0)` and `(4, 2)`.

Explanation

To find the radius and center of the circle passing through the points \( A(2,0) \), \( B(6,0) \), and \( C(4,2) \), we will follow these steps:

### Step 1: Set up the equations for the circle
Let the center of the circle be \( P(x, y) \) and the radius be \( r \). The distance from the center to each point must equal the radius. Therefore, we can write the following equations based on the distance formula:

1. For point \( A(2,0) \):
\[
r^2 = (x - 2)^2 + (y - 0)^2
...