Answer:
length of arc AB is 20.93 cm
Step-by-step explanation:
length of the pendulum has been given as 20 cm
When it swings to an angle 30°from its center on each side, we have to find the length of the arc formed from A to B.
Since Length of arc = Length of the pendulum × θ
Where θ is in radians
Since 60° = [tex]\frac{60}{360}\times 2\pi[/tex]
= [tex]\frac{\pi }{3}[/tex] radians
Now length of arc AB = [tex]20\times \frac{\pi }{3}[/tex]
= 20×1.05
= 20.93 cm
Therefore, length of arc AB is 20.93 cm
