Question $3$

$[20$ marks$]$

Given a simple circular curve with the following properties, the degree of curve $D=11,$ Direction PI $0$ to $\frac{?}{PI}1$ is $99{27}^{\text{'}}{25}^{\text{'}\text{'}},\frac{?}{PI}1$ to $\frac{?}{PI}2$ is $131{10}^{\text{'}}{05}^{\text{'}\text{'}}.$ The chainage of PI $1$ is $12+690\mathrm{.}010$ and the coordinates of PI $1$ are $(-16345\mathrm{.}425$; $+6535\mathrm{.}020)$

Determine the following:

A$.$ The deflection angle $()$

$(2)$

B$.$ The radius $(R)$

$(2)$

C$.$ The tangent length $(T)$

$(2)$

D$.$ External distance $($E$)$

$(2)$

E$.$ Mid ordinate $($M$)$

$(2)$

F$.$ Chord length $($C$)$

$(2)$

G$.$ The curve length $($L$)$

$(2)$

$H.$ Chainage of $BC$

I. Chainage of MP

$(2)$

J$.$ Chainage of EC

$(2)$