Multiple choice general knowledge math & puzzles

In which type of geometry is pi the ratio of a circle’s circumference to its diameter?

  1. Pythagorean

  2. Archimedian

  3. Euclidean

  4. Galilean
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C Correct answer
Explanation

In Euclidean geometry, π is defined as the ratio of a circle's circumference to its diameter. Euclidean geometry is the classical form of geometry based on Euclid's axioms. In non-Euclidean geometries (spherical or hyperbolic), the ratio of circumference to diameter is not constant and differs from π. This is a fundamental property that distinguishes Euclidean from other geometric systems.

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