“I received khabar that it will rain tomorrow.” In this everyday sentence, khabar means news, not Hadith.1
In everyday Urdu, “reading the akhbār” usually means reading a newspaper.
How can we tell? Look at what is being discussed. In Hadith-study discussion, khabar and akhbār have the usage just taught; weather news and a daily newspaper belong to a different discussion.
1. Optional note: Khabar is also a separate term in Arabic grammar. Its details are outside this lesson; here we are learning its use for Hadith.