A pendulum of length 11 . cm is swinging from a fixed point , as shown. Calculate the distance that the end of the pendulum travels when it swings through an angle of 84^circ Give your answer in centimetres (cm) to 1 d.p.

## Step 1:The first step to solve this problem is to convert the angle from degrees to radians. The conversion rate from degrees to radians is that radians equals . Thus, by ratio, we have rad = * .## Step 2:The second step is to use the formula that relates the arc length (s), the radius (r - which is the length of the pendulum), and the swept angle (θ radians) of a circle, which is . In this specific case of the question, we have the length of the pendulum (r = 11 cm) and the swept angle (Θ = 84°), while we are asked to find the arc length (s - the distance that the end of the pendulum travels).## Step 3:Substitute the values into the formula to derive the required distance that the end of the pendulum travels (s).