Answer:
40.6 units
Explanation:
Arc length is given by the formula ...
s = rθ
where θ is the measure of the central angle in radians.
There are 2π radians in a circle (360°), so π radians in 180°. That can be used to convert the central angle ADB to radians for use in the formula.
∠ADB = 360° -194° = 166°
∠ADB = 166° = (166/180)π radians = 83π/90 radians
Then the arc length AB is ...
length AB = (14)(83π/90) ≈ 40.561 units
The length of arc AB is about 40.6 units.