Having a wide circle of acquaintances; well connected and knowing many people.
山田さんは顔が広いから、必要な人をすぐ紹介してくれる。
Yamada-san knows a lot of people, so he can introduce you to whoever you need right away.
あの俳優は顔が広いので、業界のパーティーに顔を出していることが多い。
That actor is well connected, so he often shows up at industry parties.
彼女は留学先でも顔が広くて、毎週誰かと会っている。
She made many acquaintances while studying abroad and meets someone almost every week.