$3\mathrm{.}2$ A right$-$hand circular curve is used as part of the horizontal alignment of a $2-$lane, twoway rural road. The following curve data are given:

Curve radii $(R)=415m,$ central angle $()=35,$ design speed $=80k\frac{m}{h},$ super$-$elevation $(e)=4\%,$ lane width $=3\mathrm{.}5m,$ shoulder width $=0\mathrm{.}8m,$ camber $=2\mathrm{.}0\%,$ end of the curve $($EC$)$ point at chainage $3+500,$ minimum required stopping sight distance $($SSD$)$ is $115m,$ and superelevation runoff length $=50m.$ Assume that one$-$third of the runoff transition is in the curve.

$3\mathrm{.}2\mathrm{.}1$ Calculate the curve length $(L),$ Tangent length $(T),$ chainage at point of intersection $(\frac{?}{PI}),$ chainage at beginning of the curve $(BC),$ and deflection angle at $EC$ chainage.

$(5)$

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