beliebt
popular
Liked or appreciated by many people.
Dieses Lied war in den 90er Jahren sehr beliebt.
This song was very popular in the 1990s.

popular
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popular
Liked or appreciated by many people.
Dieses Lied war in den 90er Jahren sehr beliebt.
This song was very popular in the 1990s.

The word 'beliebt' (popular) is closely related to the verb 'lieben' (to love) and the adjective 'lieb' (dear/kind). It is the past participle form of the old verb 'belieben' and describes something that is 'geliebt' (loved) or appreciated by others.
Pizza ist bei Kindern ein sehr beliebtes Essen.
Pizza is a very popular food among children.
To express by whom someone or something is liked, you use the preposition 'bei' followed by the group of people in the dative. This construction is very typical for 'beliebt' (popular).
Der neue Lehrer ist bei den Schülern sehr beliebt.
The new teacher is very popular with the students.
'Beliebt' (popular) is often combined with adverbs that indicate the degree of popularity. Common combinations are 'sehr beliebt' (very popular), 'besonders beliebt' (especially popular), 'äußerst beliebt' (extremely popular), and 'weniger beliebt' (less popular).
Spanien ist als Urlaubsland bei Deutschen besonders beliebt.
Spain is especially popular with Germans as a vacation destination.
known
'bekannt' and 'beliebt' are easy to confuse because both are often used to talk about people, places, or products. 'bekannt' means that many people know something or have heard of it. 'beliebt' means that many people like or appreciate something. Something can be well-known without being popular. And something can be popular within a small group without being known everywhere. Remember: 'bekannt' is about being known, while 'beliebt' is about being liked.

Wegen der guten Preise ist der kleine Laden im Viertel sehr beliebt.
Because of its good prices, the small shop is very popular in the neighborhood.
Lena kennt den bekannten Technikblog aus dem Zug.
Lena knows the well-known tech blog from the train.