One's Kippa should preferably
be large enough to cover the entire head or the majority of the head. If, however, one prefers a smaller Kippa, this
is acceptable, as long as it can be seen from all sides. One should not wear a Kippa so small that cannot
be readily discerned from all sides.
This is the ruling of Hacham Ovadia Yosef.
Hacham Ovadia Hedaya
(1889-1969), in one of his published responsa (Yaskil Abdi, vol. 6, p. 292a),
writes that he would often reprimand people for wearing very small Kippot.
Even one who normally
wears a smaller Kippa, that does not cover the majority of his head, should try
to wear a hat or a larger Kippa – that covers the majority of the head – while
praying or reciting Birkat Ha'mazon.