The external is from

$($a$)$ the curve center to the PI

$($b$)$ the midpoint of the long chord to the midpoint of the curve

$($c$)$ the midpoint of the curve to the PI

$($d$)$ the PC to the PT

The number of stations along the curve from the PC to the PT is

$($a$)$ the length of the curve in stations

$($b$)2*$ the tangent distance in stations

$($c$)$ the radius in stations

$($d$)$ the long chord in stations

On a clockwise curve, the angle at the PI from the PT clockwise to the PC is

$($a$)$ the central angle

$($b$)$ the degree of curvature

$($c$)180$ degrees minus the central angle

$($d$)\frac{1}{2}$ of the central angle

If the centerline of a clockwise curve is at sta. $15+10\mathrm{.}12,$ the stationing of a point perpendicular to centerline at this point on the

inside of a $12$ ft $.$ inner lane is

$($a$)14+98\mathrm{.}12$

$($b$)15+10\mathrm{.}12$

$($c$)15+16\mathrm{.}12$

$($d$)15+22\mathrm{.}12$

If on a clockwise curve the bearing from the PC to curve center is $S20$ E the bearing from the PI to the PC is

$($a$),N20$ E

$($b$),S70W$

$($c$),N70$ E

$($d$)$ N $20$ W

The PC of a curve is $114+23\mathrm{.}61,$ the central angle is $42$ deg. $15\text{'},$ and the radius is $1438\mathrm{.}92.$ The PT stationing is

$($a$)124+60\mathrm{.}79$

$($b$)124+84\mathrm{.}67$

$($c$)125+08\mathrm{.}55$

$($d$)128+62\mathrm{.}53$

A curve has a central angle of $10$ degrees and a radius of $500$ ft $.$ The area between the long chord and curve is

$($a$)55\mathrm{.}30sq.ft.$

$($b$)110\mathrm{.}59sq.ft.$

$($c$)10963\mathrm{.}60$ sq$.$ ft$.$

$($d$)21816\mathrm{.}61$ sq$.$ ft$.$

The bearing from the PC to the PI is N $35$ E and the bearing from the PT to the PI is N $40$ W $.$ The central angle is

$($a$)5$ deg.

$($b$)75$ deg.

$($c$)105$ deg.

$($d$)175$ deg.