Question 1128109
.
<pre>

First,  S = {{{r*theta}}} :  the arc length is the radius times the central angle measure in radians.


Second,  150 degrees = {{{(5/6)pi}}} radian.


Therefore,  R = {{{S/theta}}} = {{{5/((5/6)pi)}}} = {{{(5*6)/(5*pi)}}} = {{{6/pi}}} = {{{6/3.14}}} = 1.91 kilometer.   <U>ANSWER</U>
</pre>

Solved.