関 means “connection, barrier”

かん · kan

Also: gateway, involve

Kun'yomi (Japanese reading)
せき, かかわる, からくり, かんぬき
On'yomi (Chinese reading)
カン

JLPT N3 · Taught in grade 4 · 14 strokes

The story

A gate (門) with its bolt across: 関 is a barrier, and also what links two sides, as in 関係. 関西 and 関東 are named for lying west and east of old barrier gates, and every home has a 玄関, the entryway where shoes come off.

Used in 関係 (kankei, relationship), 玄関 (genkan, entryway), and 関心 (kanshin, interest)

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Readings from KANJIDIC2, © EDRDG, CC BY-SA.