This is the 15396th most frequent German word.
vergnügte
"Vergnügte" means "cheerful" or "delighted" in English.
Here, 'vergnügten' is used as a reflexive verb ('vergnügen' in its past tense), indicating that the children are actively enjoying themselves.
Die Kinder vergnügten sich im Park.
The children amused themselves in the park.
In this sentence, 'vergnügter' describes a state of the man (past participle used as an adjective), showing he was in a cheerful mood.
Ein vergnügter Mann lächelte mich auf der Straße an.
A cheerful man smiled at me on the street.
Here, 'vergnügte' is used attributively as an adjective to describe the story, conveying that it was cheerful or enjoyable.