A simple curve is to connect two tangents whose angle of intersection is $30\backslash$deg $.$ The curve is to pass through a point B whose perpendicular distance from the tangent through PC $($at point C$)$ is $9\mathrm{.}15$ m$.$ Point C is $27\mathrm{.}45$ m from the point of intersection of the tangents. Determine the length of the curve.

choices: a$)368\mathrm{.}5$m b$)474\mathrm{.}2$m c$)226\mathrm{.}6$m d$)298\mathrm{.}9$m