Respuesta :

Answer:

r =14 in

Step-by-step explanation:

120 degrees is one-third of the central angle, 360 degrees.  

Use the area formula A = pi*r^2.  Modifying this to fit the circumstances of this question, we have:

16.75 in^2 = (1/3)(3.14)r^2, or

r^2 = 15.9951, or r^2 = approximately 16.    Then r = 4 in