Question
3: In the Figure below, the radius r = 3.4
m and q = 51.2^{0}. 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 = 180^{0 }.

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.