PROBLEM $\backslash$#$2$ The offset distance from the tangent of two points A and B of a simple curve are $2$ meters and $5$ meters, respectively. The chord length from PC to A is $30$ meters. Determine the following:

a$)$ Radius of the curve

b$)$ Chord length from $\backslash ($ P C $\backslash )$ to $\backslash ($ B $\backslash )$

c$)$ Length of the curve from $\backslash ($ P C $\backslash )$ to $\backslash ($ B $\backslash )$