If you need to refer to the figure you can open the pdf file that I attached.
If you do not know the relationship between arc lengths and angles in radians, you can derive it from the circumference of a circle. This is how:
[2π rad / 2π R] = [x / arc] , where R is the radius of the circle, arc is the length of the arc, and x is the angle in radians.
You can solve for the angle x.
x = arc / R
In the figure arc = 15.5 inches, R = 12 inches, and theta is the unknown angle. Then:
theta = arc / R = 15.5 / 12 = 1.29167 radians.
Which rounded to the nearest hundreth is 1.29
Answer: 1.29 radians