vergnügt
cheerful
To be in a happy, cheerful, and good-humored mood. It describes a state of carefree happiness or joy.
Die Kinder spielten vergnügt im Garten.
The children played cheerfully in the garden.

cheerful
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cheerful
To be in a happy, cheerful, and good-humored mood. It describes a state of carefree happiness or joy.
Die Kinder spielten vergnügt im Garten.
The children played cheerfully in the garden.

The adjective 'vergnügt' (cheerful) is closely related to the noun 'das Vergnügen' (pleasure, enjoyment). So when someone is 'vergnügt', that person is currently feeling pleasure or enjoyment.
Es war mir ein großes Vergnügen, Sie kennenzulernen.
It was a great pleasure to meet you.
'Vergnügt' can describe a person or a mood (predicatively or attributively), or the manner of an action (adverbially).
Er hat ein vergnügtes Lächeln im Gesicht.
He has a cheerful smile on his face.
The word often describes audible or visible expressions of joy. Typical combinations are 'vergnügt lachen' (to laugh cheerfully), 'vergnügt pfeifen' (to whistle cheerfully), or 'ein vergnügtes Gesicht' (a cheerful face).
Der alte Mann saß auf der Parkbank und pfiff vergnügt ein Lied.
The old man sat on the park bench and cheerfully whistled a song.
happy / lucky
'glücklich' and 'vergnügt' both describe a positive mood. 'glücklich' is more general and can mean deep satisfaction or joy. It also fits important life situations, for example in a relationship or after a major success. 'vergnügt' more often means a light, cheerful, and carefree mood in the moment. Learners may confuse the words because both express joy. When the joy is deep or personal, 'glücklich' is more natural. When someone seems good-humored and cheerful, 'vergnügt' fits better.

Die Kinder liefen vergnügt durch den Park.
The children ran cheerfully through the park.
Nach dem Gespräch mit ihrer Familie ist Anna sehr glücklich.
After talking with her family, Anna is very happy.