When R is combined with a vowel, it becomes one sound.   Since your mouth moves when you say these sounds, I call these R controlled vowels, R movement vowels.  These are very confusing since they can be spelled many different ways.

EAR vowel:

EAR:  hear, EER:  jeer, IR:  spirit, IE:  pier

ARE vowel:

AR:  arm

OR vowel:

OR:  nor, OUR:  four, ORE:  sore

AIR:

AIR:  hair, ARE:  share, EAR:  tear