• 袋ふくろ — bag; sack; pouch
• 手袋てぶくろ — gloves; mittens
• 紙袋かみぶくろ — paper bag
• 寝袋ねぶくろ — sleeping bag
• 胃袋いぶくろ — stomach; “inner bag” for food
• 足袋たび — traditional split-toe socks worn with kimono
• 袋小路ふくろこうじ — dead-end street; cul-de-sac

On the left, the radical 衣 points to cloth or clothing. The right side gives the sound タイ and hints at something used in place of a rigid container. Put together, 袋 suggests a soft cloth container — a bag you can stuff, tie, and carry close to the body.