The words feal, feel sound the same but have different meanings and spellings. Why do feal, feel sound the same even though they are completely different words?
The answer is simple: feal, feel are homophones of the English language.
(of things) Cosy; clean; neat.
(of persons) Comfortable; cosy; safe.
Smooth; soft; downy; velvety.
In a feal manner.
To perceive through the sense of touch: feel the velvety smoothness of a peach.
To perceive as a physical sensation: feel a sharp pain; feel the cold.
To touch.
To examine by touching. See Synonyms at touch.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").