The formula: brief honest reason → what you kept alive → hard pivot to now. Total: 30 seconds.
'I took time off for a family health situation that needed me. During that period I kept my skills current — [course/project/freelance bit, even small]. That situation is fully resolved, and I'm ready to commit completely to my next role.'
Why this works: interviewers aren't judging the gap morally — they're checking three boxes: Is the reason sane? (Family health: universally understood.) Is it over? (Say so explicitly — 'fully resolved' is the sentence they're listening for.) Are the skills alive?
What kills candidates isn't the gap — it's the apologetic energy around it. Practice saying your 30 seconds in a bored, matter-of-fact tone until it feels like describing weather. Confident-brief reads as 'life happened, handled it.' Nervous-elaborate reads as 'there's more here.'
No employment-law obligation to share medical details, yours or family's. 'Family health situation' is a complete answer.