Problem 01 - Simple Curve

Length of curve from PC to A:
$s = 736.58 - 700$

$s = 36.58 \, \text{ m}$
 

 

Angle subtended by arc s from the center of the curve:
$\dfrac{s}{\theta} = \dfrac{2\pi R}{360^\circ}$

$\dfrac{36.58}{\theta} = \dfrac{2\pi (198.17)}{360^\circ}$

$\theta = 10.58^\circ$
 

Length of offset x:
$\cos \theta = \dfrac{R - x}{R}$

$x = R - R \cos \theta = 198.17 - 198.17 \cos 10.58^\circ$

$x = 3.37 \, \text{ m}$           [ B ]   answer