Question

I don’t know this and I am really confused right now can some one please help me

Answer 1

The arc length is;

`(5\pi)/(3)\text{ in}`

Step-by-step explanation:

Given that the central angle of the arc is;

`\theta=(\pi)/(6)`

Recall that the formula for the length of an arc is;

`\begin{gathered} l=(\theta)/(360)*2\pi r=(\theta)/(2\pi)*2\pi r=\theta r \\ \theta\text{ (in rad)} \end{gathered}`

substituting the central angle and radius;

`\begin{gathered} l=\theta r=(\pi)/(6)*10 \\ l=(5)/(3)\pi\text{ in} \end{gathered}`

Therefore, the arc length is;

`(5\pi)/(3)\text{ in}`