Final answer:
Using the arc length formula S = rθ, we find the angle in radians by dividing the given arc length (18.8) by the radius (3.2), resulting in approximately 5.9 radians.
Step-by-step explanation:
To find the angle in radians, you can use the formula for arc length, which is the angle in radians multiplied by the radius of the circle. The formula for arc length S of a circle is S = rθ, where r is the radius and θ is the angle in radians. Here, we are given the radius r = 3.2 and the arc length S = 18.8. To find the angle θ, we rearrange the formula to θ = S/r.
θ = 18.8 / 3.2
θ = 5.875 radians
To the nearest tenth, the angle is 5.9 radians.