cap, headgear
帽 centers on head coverings: a cap or any kind of headgear.
帽 combines 巾 (cloth) with 冒, which likely contributes the sound and the idea of covering the head. The character originally referred to a cloth head covering.
The cloth radical 巾 on the left suggests fabric, and the right side 冒 looks like a cap covering the eyes (目) under the sun (日). Together, 帽 is a cloth cap.
For ボウ, imagine a bow on top of a cap: bow -> ボウ, and the bow sits on the headgear.
hat; cap
hat; cap
removing one's hat
straw hat
eboshi; black-lacquered headgear made of silk, cloth or paper, originally worn by court nobles in ancient Japan
red cap
regulation cap; school cap
bowler hat; felt hat
pointy hat; cone-shaped hat; pixie hat
boater; (flat) straw hat
felt hat
fez; tarboosh
knitted hat; woollen hat
flat cap
panama hat
felt hat
beret
ushanka (fur hat)
three-cornered hat; tricorne
three-cornered hat; tricorne