Answer:
r =14 in
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