Question

An arc has a length of 130 inches and a radius of 28 inches; to the nearest tenth, what is the angle of the sector in radians?

Answer 1

The formula for the arc length is,

`L=\theta r`

Here, angle is in radian.

Determine the angle of the sector.

`\begin{gathered} 130=28\cdot\theta \\ \theta=(130)/(28) \\ =4.642 \\ \approx4.6 \end{gathered}`

Thus, measure of angle of sector is 4.6 radians.