Respuesta :

Answer:

  40.6 units

Step-by-step 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.