Quoting ma ♥:" I totally know how you feel. That has happened to me far too many times at the park, & it's never any less awkward... uhhh."
The kids always run to me and ask me to play with them.
I'm VERY hands on at the park, I play tag with my girls, play hide N seek, run around chasing them, and other kids always wanna play too.
I always include them but when playing hide n seek I do get nervous that a parent might not like having their kid out of sight, or I'll be unsure how far the kid is allowed to go from the actual playground to hide.