How far does the tip of a 5foot pendulum travel as it swings

How far does the tip of a 5-foot pendulum travel as it swings through an angle of 30 degree ? Round your answer to two decimal places.

Solution

the path of pendulum would be an arc of a circle whose radius is the length of the pendulum

radius = 5 foot

arc = 30 degrees

therefore, length of the arc = 2pi* r * 30 / 360 = 2* 3.14 * 5 / 12 = 2.62 feet