in addition to the answers of Dalibor Matýsek and Nilay Maji please resolve the Scherrer equation*), which roughly relates the crystallite size, the peak width, the wavelength and the Bragg angle theta,
you will find:
ß ~ FWHM ~ 1/cos(theta).
For completenes; as a function of 2theta, as mentioned above, you will have:
ß ~ FWHW ~ 1/cos[(2theta)/2]
*) see for example: https://en.wikipedia.org/wiki/Scherrer_equation