外囲 is read as がいい (gaii) and means periphery.
がいい
gaii
そとがこい
enclosure
はんいがい
out of range
がいむしょう
Ministry of Foreign Affairs
がいか
foreign goods
がいかく
outside corner
がいあつ
external pressure
がいこうだん
diplomatic corps
がいそう
exterior
がいてき
external
がいしゅう
outer circumference
がいこうじれい
diplomatic turn of phrase
がいはく
staying somewhere else (overnight)