Coordinate Geometry - Finding the Centre and Radius of a Circle

The points \(A\left( -2,4 \right)\) and \(B\left( 6,-2 \right)\) are at the opposite ends of a diameter of a circle, \({{C}_{1}}\). Find the

1. centre of the circle and radius of the circle.
2. equation of the circle.
3. equation of the perpendicular bisector of \(AB\).

The circle, \({{C}_{1}}\), is reflected in the \(x\)-axis.

4. Find the equation of the reflected circle, \({{C}_{2}}\).