Origin

The character 帽 combines two parts: 巾, a radical meaning cloth or fabric that indicates this character is about something textile-related, and 冒, which serves as a sound hint showing roughly how the character should be pronounced. Since a cap or hat is typically made from cloth or woven material, the 巾 component makes sense—it tells you this is headwear made of fabric. The right side doesn't describe what a hat looks like or means; it simply guides you toward the correct pronunciation of the word.