ar, are

The words ar, are sound the same but have different meanings and spellings. Why do ar, are sound the same even though they are completely different words?

The answer is simple: ar, are are homophones of the English language.

ar
  1. :: noun

    Variant of are2.

  2. :: noun

    The letter r.

are
  1. :: verb

    Second person singular and plural and first and third person plural present indicative of be.

  2. :: noun

    A metric unit of area equal to 100 square meters (119.6 square yards).

Definitions from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.

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About Homophones

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").