• 旅館りょかん — traditional inn
• 会館かいかん — hall / assembly building
• 図書館としょかん — library
• 映画館えいがかん — movie theater
• 館長かんちょう — director of a hall/museum
• 休館きゅうかん — closure of a building (library, museum, etc.)
• 新館しんかん — new building/wing

This character is formed from the 食 (eat) radical and 官 (official). Originally, it referred to a house that served food to people, such as a guest hall or public lodging. Over time, it came to mean any large building used for public or official purposes.

図書館としょかんで 本ほんを借かりました。
I borrowed a book at the library.

この館やかたは 百年ひゃくねんの歴史れきしがあります。
This mansion has a hundred years of history.