A pendulum of length 121 inches swings 537 to each side of i

A pendulum of length 12.1 inches swings 5°37\' to each side of its vertical position. What is the length (to the nearest hundredth of an inch) of the arc through which the end of the pendulum swings? SHOW WORK

Answer: 2.37 in.

Please show work

Solution

Arc length = Radius * Angle * pi/180

Now, radius = 12.1

Angle = 5°37\' = 5° + 37/60° = 5.6167°

Since pendulum swings back and forth, we will multiply angle by 2.

So, angle = 2 * 5.6167 = 11.2334

Now, arc length = 12.1 * 11.2334 * pi/180 = 2.37 in (Answer)