$5.(25$pts$)$ Calculate Radius, R; Long chord, LC; Middle Ordinate, M; External distance, E ; and the stations of the point of intersection $($PI$)$ and point of tangent $($PT$)$ for a horizontal circular curve with Degree of the curve, $\backslash (\backslash$mathrm$\{$D$\}=1\mathrm{.}45^\{\backslash$circ$\}\backslash ),$ the angle between the tangents, $\backslash (\backslash$Delta$=27\mathrm{.}5^\{\backslash$circ$\}\backslash ),$ and the station of the point of curve, $\backslash (\backslash$mathrm$\{$PC$\}=45\backslash )+40\mathrm{.}00.$

In addition, compute the necessary set out data $($deflection angles and cumulative deflection angles$)$ for this curve at PC$,$ PT and at each station.