• 扇おうぎ — folding fan
• 扇子せんす — folding fan (common word)
• 扇風機せんぷうき — electric fan
• 団扇うちわ — round handheld fan
• 扇形おうぎがた — fan shape; sector
• 扇おうぎの要かなめ — the pivot (hinge) of a fan

A phono-semantic build: the radical 戸 (door frame, とだれ) sets the form, while 羽 (feathers) in the old composition evokes layered vanes. Open and the slats spread like wings; close and they fold at the hinge — the 要 (かなめ). From this motion and shape comes the meaning “fan.”