EXPLANATION
Given that the length of the arc of a circle of radius, the circunference is given by the following formula:

We know that the total angle in a circle is 360 degrees, computing the circunference:

Multiplying numbers:

Since we have the subtended angle equal to 150 degrees, we can divide both numbers as shown as follows:

Hence, the total length is obtained by multiplying the Total Circunference by
the fraction as follows:

In conclusion, the arc length is 36.68 inches