In solving for the length of an arc of a circle, we apply the formula:

`s= theta r`

where `theta` is the central angle in radians, r is the radius and s is the arc length.

In the problem, the given angle is in degree. To convert it to radians,...

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In solving for the length of an arc of a circle, we apply the formula:

`s= theta r`

where `theta` is the central angle in radians, r is the radius and s is the arc length.

In the problem, the given angle is in degree. To convert it to radians, we use the conversion factor `pi rad = 180^o`

`theta=240^o * (pi rad)/180^o= (4 pi)/3 rad`

Plugging in the values of `theta` and r, we will get:

`s= (4 pi)/3 * 3 = 4 pi =12.57 i n `

Therefore, the arc length of the circle is 12.57 inches.