Question 3: In the Figure below, the radius r = 3.4 m and  q = 51.20.  What is the length of the arc, s, facing the angle?  express your answer  in inches. 








Answer 3 : The length of arc s can be found from the following formula : s = r q. Here q is expressed in radians.  so our first step to find s is to change the unit of q from degrees to radians.

 p radians = 1800 .

Thus s = r q = (3.4)(.894) = 3.04 m


To change s to inches, we use the conversion factor 1 in = 2.54 10-2 m.