Final answer:
The angle intercepted by the arc is approximately 5.54 radians.
Step-by-step explanation:
To find the angle in radians intercepted by an arc in a circle, we need to use the formula:
Δθ = Δs/r
Where Δθ is the angle in radians, Δs is the length of the arc, and r is the radius of the circle.
In this case, the length of the arc is 12.2 and the radius is 2.2. Plugging in these values, we get:
Δθ = 12.2/2.2
Calculating the right side of the equation gives us:
Δθ ≈ 5.54 radians (rounded to the nearest 10th)