A 54-inch pendulum swings at an angle of 20°. Find the length of the arc to the nearest hundredth of aninch through which the tip of the pendulum swings.anglerin.

Question

asked Oct 3, 2023 232k views

1 Answer

Tianz · Answer 1 · 2023-10-09T13:59:49+0000

Answer:

18.85 inches

Explanation:

In any circle, the length of an arc on the circle is calculated using the formula below:

$\text{Length}=(\theta\pi r)/(180)$

Given:

• The length of the pendulum = 54 inches

,

• Central Angle, θ = 20°

Substitute into the formula:

$L=(20(\pi)(54))/(180)\approx18.85\text{ inches}$

The length of the arc through which the tip of the pendulum swings is 18.85 inches (to the nearest hundredth).