First, be sure that your image has good contrast, so that your drop appears very dark over a light background. This is ensured with backlighting illumination of your drop. Also, the grey levels inside and outside your drop should be rather monogeneous. If not, the fitting algorithm may give false results.
Also, the focus of the objective lens is crucial here : the drop contour has to be sharp, not blured.
Then, the measure should be more reliable if your drop is small enough so that gravity effects are neglected. In practice, your drop shape is that of a spherical cap.
Finally, most pluggins cease to work well if the angle value is below 10 degrees or higher than 150 degrees.
I have applyed the two points for the base, adjusting then to the point where the drop is in contact with the surface. I added three points more for the drop circumference.
Once the points are adjusted I selected the circle best fit. And the fit is more or less ok.
Probably the problem is in the position of the points or a different drop shape.
I attached a word document with the steps and the final results for the image.