"Increased FRC cause a greater tendency for the lung to collapse due to elastic recoil"
Basically this means the more air inside your lung, the more it wants to recoil back. Like a balloon.
"Why does increasing the radius size cause a decreased tendency for the alveoli to collapse?
An alveolus with a smaller radius has a greater tendency to collapse into itself (deflate) because its smaller. There are fluids lining the inside surfaces of the alveoli, and you know fluids love to come together and hug each other (think of a drop of water. the molecules hug each other together). This is called surface tension. The surface tension is a force that's trying to bring the inside alveolar surfaces together (i.e., collapse). The smaller the radius, the greater the surface tension.
However surfactant lowers this surface tension, so the fluids don't try to "hug" each other as much, thus the tendency of the alveolus to collapse is reduced.
It's kind of confusing how "the smaller the radius the greater the surface tension" works but you can just memorize it like that no need to go deep into physics