precalc math problem

Question

The pendulum of a grandfather clock is 44 inches long and swings through an arc of 8 degrees. Find the length of the arc that the pendulum traces.

Answer 1

Let s = the arc length The governing equation is s = ra where r = length of cord, & a = angle of swing

in radians

8 degrees x pi radians/180 degrees = .13962 radians

So, s = (44 inches)(.13962 radians) = 6.1433 inches