Circle Coordinates and Distance Calculation

In a coordinate plane, a circle is defined by the equation $$ (x - 3)^2 + (y + 4)^2 = 25 $$.

a) Determine the center and radius of the circle.

b) If a point P on this circle has coordinates $(x, y)$ such that $x + y = 1$, identify the coordinates of point P.

Use this information to answer the following question:

What is the distance from the center of the circle to point P?