Question

A circle has a radius of 4 in find the length s of the arc

Answer 1

The rule of the length of an arc is

`s=r\theta`

r is the radius of the circle

Cita is the central angle subtended by this arc in radian measure

Since the radius of the circle is 4 inches, then

`r=4`

Since the measure of the central angle is 1.9 radian, then

`\theta=1.9`

Substitute them in the rule above

`\begin{gathered} s=4*1.9 \\ s=7.6\text{ inches} \end{gathered}`

The length of the arc is 7.6 inches