In polar coordinates, the parametric equations x=5+cos(t) and y=sin(t) represent a circle1. In Cartesian coordinates, there is a circle2 that is externally tangent to circle1, tangent to the y-axis, and centered at (12,sqrt b). What is the value of b?

Answer 1

Almost this exact problem is done in one of the related questions below.

Consider the distance between the two centers.