Interview Brain Teasers
Medium
2 min
Why are manhole covers usually round rather than square?
Hint
Think about whether a round cover can fall through its own opening.
Answer
A circular cover cannot fall through a circular opening of the same diameter, regardless of how it is rotated.
Explanation
A square cover can potentially fall diagonally through a square opening. A round cover has constant width, so it cannot pass through its matching opening.
Step-by-Step Solution
A circle has the same width in every direction.
Therefore it cannot fall through an opening smaller than its diameter.
Therefore it cannot fall through an opening smaller than its diameter.