leak, leek

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

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

leak
  1. :: verb-intransitive

    To permit the escape, entry, or passage of something through a breach or flaw: rusted pipes that were beginning to leak; a boat leaking at the seams.

  2. :: verb-intransitive

    To escape or pass through a breach or flaw: helium leaking slowly from the balloon.

  3. :: verb-intransitive

    Informal To become publicly known through a breach of secrecy: The news has leaked.

  4. :: verb-transitive

    To permit (a substance) to escape or pass through a breach or flaw: a damaged reactor leaking radioactivity into the atmosphere.

leek
  1. :: noun

    An edible plant (Allium porrum) related to the onion and having a white, slender bulb and flat, dark-green leaves.

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").