III. The full data refers to a composite curve. The deflection angle $()$ between the straights is $50{20}^{\text{'}}$ while chainage of the intersection point is $7000$ feet. The maximum speed of the vehicle to traverse the curve is $70$ miles$/$hour$.$ The centrifugal ratio is taken as $1/4$ while the max ratio of radial acceleration is $1\mathrm{.}2$fee$\frac{t}{sec}.$ Compute the following parameters of the curve using the principles of composite curve.

$($a$)$ Radius of circular curve

$($b$)$ Length of transition curve

$($c$)$ The chainage of the beginning and end of transition curve and at the junctions of the transition curve with the circular curve.