Question

For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, θ= 5 pi\6, s=?

Answer 1

Calculate the arc length by using the following formula:

`s=r\theta`

Replace the values of r and θ and simplify:

`\begin{gathered} s=(6.45in)(5(\pi)/(6))=(6.45)((5)/(6))(3.14) \\ s=16.8775in \end{gathered}`

Hence, the arc length is 16.8775 in