Answer:
18.85 inches
Explanation:
In any circle, the length of an arc on the circle is calculated using the formula below:
[tex]\text{Length}=\frac{\theta\pi r}{180}[/tex]
Given:
• The length of the pendulum = 54 inches
,
• Central Angle, θ = 20°
Substitute into the formula:
[tex]L=\frac{20(\pi)(54)}{180}\approx18.85\text{ inches}[/tex]
The length of the arc through which the tip of the pendulum swings is 18.85 inches (to the nearest hundredth).
